100 Best Graph Theory Books of All Time (Updated for 2026)

1

Introduction to Graph Theory

Richard J. Trudeau

5.0

A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

2

Introductory Graph Theory

Gary Chartrand

4.7

Graph theory is used today in the physical sciences, social sciences, computer science, and other areas. Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style.
Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to stre

3

Visual Explanations

Edward R. Tufte

4.7

Few would disagree: Life in the information age can be overwhelming. Through computers, the Internet, the media, and even our daily newspapers, we are awash in a seemingly endless stream of charts, maps, infographics, diagrams, and data. Visual Explanations is a navigational guide through this turbulent sea of information. The book is an essential reference for anyone involved in graphic, web, or

Recommended by Jeff Atwood and Bret Victor.

4

Graph Theory with Applications to Engineering and Computer Science

Narsingh Deo

4.7

This outstanding introductory treatment of graph theory and its applications has had a long life in the instruction of advanced undergraduates and graduate students in all areas that require knowledge of this subject. The first nine chapters constitute an excellent overall introduction, requiring only some knowledge of set theory and matrix algebra. Topics include paths and circuits, trees and fun

5

Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life

Albert-Laszlo Barabasi

4.6

In the 1980's, James Gleick's Chaos introduced the world to complexity. Now, Albert-László Barabási's Linked reveals the next major scientific leap: the study of networks. We've long suspected that we live in a small world, where everything is connected to everything else. Indeed, networks are pervasive--from the human brain to the Internet to the economy to our group of friends. These linkages, it turns out, aren't random. All networks, to the great surprise of scientists, have an underlying order and follow simple laws. Understanding the structure and behavior of these networks will help us do some amazing things, from designing the optimal organization of a firm to stopping a disease outbreak before it spreads catastrophically.In Linked, Barabási, a physicist whose work has revolutionized the study of networks, traces the development of this rapidly unfolding science and introduces us to the scientists carrying out this pioneering work. These "new cartographers" are mapping networks in a wide range of scientific disciplines, proving that social networks, corporations, and cells are more similar than they are different, and providing important new insights into the interconnected world around us. This knowledge, says Barabási, can shed light on the robustness of the Internet, the spread of fads and viruses, even the future of democracy. Engaging and authoritative, Linked provides an exciting preview of the next century in science, guaranteed to be transformed by these amazing discoveries.From Linked:This book has a simple message: think networks. It is about how networks emerge, what they look like, and how they evolve. It aims to develop a web-based view of nature, society, and technology, providing a unified framework to better understand issues ranging from the vulnerability of the Internet to the spread of diseases. Networks are present everywhere. All we need is an eye for them...We will see the challenges doctors face when they attempt to cure a disease by focusing on a single molecule or gene, disregarding the complex interconnected nature of the living matter. We will see that hackers are not alone in attacking networks: we all play Goliath, firing shots at a fragile ecological network that, without further support, could soon replicate our worst nightmares by turning us into an isolated group of species...Linked is meant to be an eye-opening trip that challenges you to walk across disciplines by stepping out of the box of reductionism. It is an invitation to explore link by link the next scientific revolution: the new science of networks.

Recommended by Anne-Marie Slaughter and Bill Barhydt.

Anne-Marie Slaughter

Linked is about how to understand the world in terms of networks. To understand network science the first thing to do is to visualise the world the way you visualise the Internet or even the universe – hubs of infinitely intersecting networks. As the author says, everything can be reduced to links and nodes. This book is a very accessible introduction to the science of networks and to how to think about everything from anthills to traffic jams to complex conflict from the perspective of network science. [source]

Bill Barhydt

Written before Facebook, this book predicts what the world will look like with amazing precision. [source]

6

The Fascinating World of Graph Theory

Arthur Benjamin, Gary Chartrand, et al.

4.6

The history, formulas, and most famous puzzles of graph theory

Graph theory goes back several centuries and revolves around the study of graphs--mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics--and some of its most famous pro

7

A First Course in Graph Theory

Gary Chartrand and Ping Zhang

4.6

Written by two of the most prominent figures in the field of graph theory, this comprehensive text provides a remarkably student-friendly approach. Geared toward undergraduates taking a first course in graph theory, its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

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8

Graph Theory and Complex Networks: An Introduction

Maarten van Steen

4.6

This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidat

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9

An Atlas of Graphs

Ronald C. Read, Robin J. Wilson

4.6

With over 10,000 diagrams and extensive tables of properties, this atlas is comprehensive and unique. Never before has so much visual information about graphs been collected in a single volume, making it an invaluable source for researchers in graph theory, operations research and computer science.

10

Beautiful Evidence

Edward R. Tufte

4.6

Science and art have in common intense seeing, the wide-eyed observing that generates visual information. Beautiful Evidence is about how seeing turns into showing, how data and evidence turn into explanation. The book identifies excellent and effective methods for showing nearly every kind of information, suggests many new designs (including sparklines), and provides analytical tools for assessin

Recommended by Bret Victor.

11

Walk Through Combinatorics, A: An Introduction to Enumeration and Graph Theory (Third Edition)

Miklos Bona

4.5

This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.J

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12

Modern Graph Theory

Bela Bollobas

4.5

The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pur

13

Graph Paper Notebook: Grid Paper Notebook, Grid Paper for Math and Science Students, Quad Ruled 5x5 ( 110 Pages, 8.5 x 11)

Ken Malone

4.5

Check my author profile, there you will find more information about my notebooks.Elegant and practical notebook with checkered paper, in blue colorThis notebook is a great choice if you are looking for a sturdy checkered notebook for math, note writing, sketching, writing ideas or keeping a personal journal.Perfect for all office, school and home applications.Elegant and timeless design makes the

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14

The Number Devil: A Mathematical Adventure

Hans Magnus Enzensberger, Rotraut Susanne Berner, Michael Henry Heim

4.5

The international best-seller that makes mathematics a thrilling exploration.

In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers: infinite numbers, prime numbers, Fibonacci numbers, numbers that magically appear in triangles, and numbers that expand without. As we dream with him, we are taken further and further into mathemat

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15

Graphical Enumeration

Frank Harary, Edgar M. Palmer

4.4

16

Graph Paper Composition Notebook: Quad Ruled 4x4, Grid Paper for Math and Science Students ( 110 Pages, 8.5 x 11) (Math Notebook)

Ken Malone

4.4

Elegant and practical notebook with checkered paper This notebook is a great choice if you are looking for a sturdy checkered notebook for math, note writing, sketching, writing ideas or keeping a personal journal. Perfect for all office, school and home applications. Elegant and timeless design makes the notebook perfect as a personal notebook or gift. Specifications: Cover finish: High-quality m

17

Graph Paper Notebook 8.5 x 11 - Quad Ruled - 100 Pages: Large Composition Grid Exercise Sheets - 4x4 - for School, Students, Math, Sciences, Art & Engineering - Write On! - Black

Write On! Publishing

4.4

Write On! Graph Paper Composition NotebookPerfectly align your ideas with our sleek and functional graph paper notebook. Perfect for students, architects, artists, engineers, or anyone seeking precision and organization.This versatile notebook is your canvas for sketching, note-taking, planning, or simply jotting down ideas.Key Features:Premium Design: Our notebook boasts a stylish matte cover tha

18

Proofs from THE BOOK

Martin Aigner, Günter M. Ziegler, Karl H. Hofmann

4.4

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as additional, highly original and delightful proofs in other chapters.

From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition"

"... It is almost impossible to write a mathematics book that can be read and enjoyed by peop

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19

Network Science

Albert-László Barabási and Márton Pósfai

4.4

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20

Groups and Their Graphs

Israel Grossman

4.4

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21

Show Me the Numbers: Designing Tables and Graphs to Enlighten

Stephen Few

4.4

Addressing the prevalent issue of poorly designed quantitative information presentations, this accessible, practical, and comprehensive guide teaches how to properly create tables and graphs for effective and efficient communication. The critical numbers that measure the health, identify the opportunities, and forecast the future of organizations are often misrepresented because few people are tra

22

Combinatorics and Graph Theory

John M. Harris, Jeffry L. Hirst, et al.

4.4

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent res

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23

Discrete Mathematics with Graph Theory

Edgar Goodaire and Michael Parmenter

4.4

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics... for a complete list of titles.
Far more "user friendly" than the vast majority of similar books, this text is truly written with the "beginning" reader in mind. The pace is tight, the style is light, and the text emphasizes

24

Graph Paper Composition Notebook | Quad Ruled | Engineering | Grid | 8.5 x 11 | Math | Large | Journal | College | Squares | Pink Pattern Aesthetic | ... | House Plans | Durable | Subtle Gray Lines

Danielle Fernandez

4.4

Graph Paper Composition Math for Engineering NotebookUnlock a world of precision and creativity with our graph paper composition math quad ruled books. This notebook is perfect for students and professionals alike, featuring bound pages designed for everything from primary science projects to 100 quadrille graphing needs.The notebook combines a stylish aesthetic design with a vintage feel, making

25

The Data Science Design Manual

Steven S. Skiena

4.4

This book serves an introduction to data science, focusing on the skills and principles needed to build systems for collecting, analyzing, and interpreting data. As a discipline, data science sits at the intersection of statistics, computer science, and machine learning, but it is building a distinct heft and character of its own.

In particular, the book stresses the following basic principles as f

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26

Graph Colouring And The Probabilistic Method

Michael Molloy, Bruce Reed, B. Reed

4.4

Over the past decade, many major advances have been made in the field of graph colouring via the probabilistic method. This monograph provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.
The topics covered include: Kahn's proofs that the Goldberg-Seymour and List Colouring Conjectures hold asymptotically;

27

Engineering Notebook: 5 x 5 Graph Rule on Back Shows Through to Margin-Ruled Front, featuring Metric Conversion Tables—Graph Paper for Engineers, Math & Science Students, 8.5” x 11”, 160+ Cream Pages

WriteTime Press

4.4

Introducing our Engineering Notebook—more than just ordinary graph paper!Whether you are an engineering student, math whiz, science enthusiast, architect, or designer, this notebook is your ultimate tool for precision and organization. With 162 cream-colored numbered pages featuring engineering paper, an index, and a metric conversion table, it is more than just a notebook—it’s your secret weapon

28

Graph Paper Notebook 3/4 inch Squares: 100 Numbered Pages with Table of Contents, 0.75 Inch Grid Ruled, For Math & Science Students, Teachers, Kids | 8.5 x 11 Inches

Dominic Zëuëz

4.4

Kindly SCROLL DOWN MORE for additional details on the Interior of this notebook!Features of this book:Paper Size: US - Letter - 8.5 x11 inches (21.6 x 27.9 cm).3/4 inches (0.75) Square Grid edge-to-edge printed without any borders.100 pages with Page Numbers (50 Double sided sheets).4 additional Pages for Table of Contents.Paperback Soft Cover in Matte Finish.Click on the Author Name to view more

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29

Graph Algorithms: Practical Examples in Apache Spark & Neo4j

Mark Needham and Amy E. Hodler

4.4

Discover how graph algorithms can help you leverage the relationships within your data to develop more intelligent solutions and enhance your machine learning models. You'll learn how graph analytics are uniquely suited to unfold complex structures and reveal difficult-to-find patterns lurking in your data. Whether you are trying to build dynamic network models or forecast real-world behavior, thi

Recommended by Kirk Borne.

Kirk Borne

Great book: "Graph Algorithms: Practical Examples in #ApacheSpark and @Neo4j" by @amyhodler & @markhneedham, with the Foreward by me😎 ———— Get FREE PDF copy: https://t.co/61yQgYUrud ———— #GraphAnalytics #BigData #GraphDB #LinkedData #SmartData #DataScience #AI #MachineLearning https://t.co/BQaK75O7mP [source]

30

In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation

William J. Cook

4.4

What is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin? It sounds simple enough, yet the traveling salesman problem is one of the most intensely studied puzzles in applied mathematics--and it has defied solution to this day. In this book, William Cook takes readers on a mathematical excursion, picking up the s

Recommended by Nick Higham.

Nick Higham

The problem is very hard. Even with the fastest computers and the best algorithms that we have today, we aren’t able to solve it yet. [source]

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31

Algorithmic Graph Theory

Alan Gibbons

4.4

This is a textbook on graph theory, especially suitable for computer scientists but also suitable for mathematicians with an interest in computational complexity. Although it introduces most of the classical concepts of pure and applied graph theory (spanning trees, connectivity, genus, colourability, flows in networks, matchings and traversals) and covers many of the major classical theorems, the

32

R Cookbook: Proven Recipes for Data Analysis, Statistics, and Graphics

Paul Teetor

4.4

With more than 200 practical recipes, this book helps you perform data analysis with R quickly and efficiently. The R language provides everything you need to do statistical work, but its structure can be difficult to master. This collection of concise, task-oriented recipes makes you productive with R immediately, with solutions ranging from basic tasks to input and output, general statistics, gr

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33

Introduction to Graph Theory

Douglas B. West

4.3

This book fills a need for a thorough introduction to graph theory that features both the understanding and writing of proofs about graphs. Verification that algorithms work is emphasized more than their complexity. An effective use of examples, and huge number of interesting exercises, demonstrate the topics of trees and distance, matchings and factors, connectivity and paths, graph coloring,

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34

An Introduction to the Theory of Graph Spectra

Dragos Cvetkovi?

4.3

This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book

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35

Graph Theory with Algorithms and Its Applications: In Applied Science and Technology

Santanu Saha Ray

4.3

With elegantly defined examples and rigorously explained theorem proofs, this book presents concepts in the theory of graphs and algorithms, and their applications. It describes many key algorithms and uses simple, clear, and logical mathematical language.

36

A Programmer's Guide to Computer Science: A virtual degree for the self-taught developer

Dr. William M Springer II, Nicholas R Allgood, et al.

4.3

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37

Graph Theory

Adrian Bondy

4.3

The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves

38

Extremal Graph Theory

Bela Bollobas

4.3

The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory.
Unlike most graph theory treatises,

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39

Graphs on Surfaces: Dualities, Polynomials, and Knots

Joanna A. Ellis-Monaghan

4.3

Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve p

40

Algebraic Graph Theory

Chris Godsil

4.3

Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors' goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather than classical topics. While placing a strong emphasis on co

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41

Graph Theory and Its Applications

Jonathan L. Gross

4.3

This book takes a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. The authors' unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations resea

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42

Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math

Alex Bellos

4.3

Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinat

43

Pearls in Graph Theory: A Comprehensive Introduction

Nora Hartsfield and Gerhard Ringel

4.3

"Innovative introductory text . . . clear exposition of unusual and more advanced topics . . . Develops material to substantial level." — American Mathematical Monthly
"Refreshingly different . . . an ideal training ground for the mathematical process of investigation, generalization, and conjecture leading to the discovery of proofs and counterexamples." — American Mathematical Monthly
" . . . An e

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44

Graph Paper Composition Notebook for Role Playing Games: Blank Quad Rule RPG Grid Paper (Dungeon Map RPG Game Series)

Crit Masters

4.3

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45

Exponential Random Graph Models for Social Networks: Theory, Methods, and Applications

Dean Lusher, Johan Koskinen, et al.

4.3

Exponential random graph models (ERGMs) are increasingly applied to observed network data and are central to understanding social structure and network processes. The chapters in this edited volume provide the theoretical and methodological underpinnings of ERGMs, including models for univariate, multivariate, bipartite, longitudinal, and social-influence type ERGMs. Each method is applied in indi

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46

Algebraic Graph Theory

Norman Biggs

4.3

In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discu

47

Classification and Regression Trees

Leo Breiman, Jerome Friedman, et al.

4.3

Recommended by Kirk Borne.

Kirk Borne

#MachineLearning articles on Classification with Decision Trees, Regression Trees, and Random Forests: https://t.co/MNM5prC2Hx —————— #BigData #DataScience #AI #Statistics #DataScientists #Coding #Algorithms #abdsc —————— ➕See this book: https://t.co/rVsEVADubn https://t.co/ZnV35IhxkF [source]

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48

Data Structures and Network Algorithms

Robert Endre Tarjan

4.3

There has been an explosive growth in the field of combinatorial algorithms. These algorithms depend not only on results in combinatorics and especially in graph theory, but also on the development of new data structures and new techniques for analyzing algorithms. Four classical problems in network optimization are covered in detail, including a development of the data structures they use and an

49

1 cm Graph Paper Composition Notebook: Quad Ruled Grid Notebook (Large, 8.5 x 11 inches) 120 pages, for Math and Science Students | Blue

DreamCreator Prints

4.3

This large & simple 8.5 x 11 inches graph paper composition notebook contains 120 pages, 1 cm. quad-ruled pages made for math and science students, artists, kids, adults, anyone else!About this notebook:1 cm. Quad Ruled Graph Paper Notebook8.5 x 11 inches120 pagesPrinted on white paper

50

ggplot2: Elegant Graphics for Data Analysis

Hadley Wickham

4.3

1. 1 Welcome to ggplot2 ggplot2 is an R package for producing statistical, or data, graphics, but it is unlike most other graphics packages because it has a deep underlying grammar. This grammar, based on the Grammar of Graphics (Wilkinson, 2005), is composed of a set of independent components that can be composed in many di?erent ways. This makesggplot2 very powerful, because you are not limited

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51

Computational Line Geometry

Helmut Pottmann

4.3

From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews

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52

Graph Theory: A Problem Oriented Approach

Daniel Marcus

4.3

Combining the features of a textbook with those of a problem workbook, this text for mathematics, computer science and engineering students presents a natural, friendly way to learn some of the essential ideas of graph theory. The material is explained using 360 strategically placed problems with connecting text, which is then supplemented by 280 additional homework problems. This problem-oriented

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53

Tilings and Patterns

Branko Grunbaum

4.3

The definitive book on tiling and geometric patterns, this magnificently illustrated volume features 520 figures and more than 100 tables. Accessible to anyone with a grasp of geometry, it offers numerous graphic examples of two-dimensional spaces covered with interlocking figures, in addition to related problems and references.
Suitable for geometry courses as well as independent study, this insp

54

Graph Theory

Ronald Gould

4.3

This introduction to graph theory focuses on well-established topics, covering primary techniques and including both algorithmic and theoretical problems. The algorithms are presented with a minimum of advanced data structures and programming details. This thoroughly corrected 1988 edition provides insights to computer scientists as well as advanced undergraduates and graduate students of topology

55

An Introduction to Information Theory: Symbols, Signals and Noise

John R. Pierce

4.3

Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter.

To give a solid introduction to this burgeoning field, J. R. Pier

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56

Graph Theory as I Have Known It

W. T. Tutte

4.2

Graph Theory as I Have Known It provides a unique introduction to graph theory by one of the founding fathers, and will appeal to anyone interested in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insig

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57

Knots and Surfaces: A Guide to Discovering Mathematics

David W. Farmer

4.2

In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book lead

58

Topological Graph Theory

Jonathan L. Gross and Thomas W. Tucker

4.2

Clear, comprehensive introduction emphasizes graph imbedding but also covers thoroughly the connections between topological graph theory and other areas of mathematics. Discussion of imbeddings into surfaces is combined with a complete proof of the classification of closed surfaces. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem —

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59

The Graph Isomorphism Problem: Its Structural Complexity

Johannes Kobler, Uwe Schöning, Jacobo Toran

4.2

Recently, a variety ofresults on the complexitystatusofthegraph isomorphism problem has been obtained. These results belong to the so-called structural part of Complexity Theory. Our idea behind this book is to summarize such results which might otherwise not be easily accessible in the literature, and also, to give the reader an understanding of the aims and topics in Structural Complexity Theory

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60

Graphs on Surfaces and Their Applications

Sergei K. Lando

4.2

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a fo

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61

Groups Acting on Graphs

Warren Dicks, M. J. Dunwoody

4.2

This is an advanced text and research monograph on groups acting on low-dimensional toplogical spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Here the treatment includes several of the standard results on groups acting on trees, as well as many original results on ends of groups and Boolean ri

62

Basic Linear Graphing Skills Practice Workbook: Plotting Points, Straight Lines, Slope, y-Intercept & More (Improve Your Math Fluency Series)

Chris McMullen

4.2

NOTE: Originally designed as a paperback book, the digital edition is designed to work with pinch-and-zoom. Also, whereas the paperback provides room to draw graphs or work out solutions, the digital edition requires graph paper and scratch paper for drawing or working out solutions. The answers to the exercises are tabulated at the back, which can be accessed via device navigation.

WHAT TO EXPECT:

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63

Fundamentals of Domination in Graphs

Teresa W. Haynes, Stephen Hedetniemi, Peter Slater

4.2

Provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs-discussing fundamental results and major research accomplishments in an easy-to-understand style. Includes chapters on domination algorithms and NP-completeness as well as frameworks for domination.

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64

Introduction to Graph Theory

Robin J. Wilson

4.2

In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson's book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians.

T

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65

Additive Combinatorics

Terence Tao, Van H. Vu

4.2

Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring togeth

66

The Grammar of Graphics

Leland Wilkinson

4.2

Preface to First Edition Before writing the graphics for SYSTAT in the 1980's, I began by teaching a seminar in statistical graphics and collecting as many different quantitative graphics as I could find. I was determined to produce a package that could draw every statistical graphic I had ever seen. The structure of the program was a collection of procedures named after the basic graph types they

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67

Problems from the Discrete to the Continuous: Probability, Number Theory, Graph Theory, and Combinatorics

Ross G. Pinsky

4.2

The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial probabili

68

Functions and Graphs

Israel M. Gel'fand and E. G. Glagoleva and E. E. Shnol

4.2

The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagram

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69

Sch Outline Graph Theory

V. Balakrishnan

4.2

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hu

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70

Scaling

G. I. Barenblatt

4.2

Starting from dimensional analysis and physical similarity, G. Barenblatt describes the art of discovering scaling laws. He demonstrates the concepts of intermediate asymptotics and the renormalization group as natural consequences of self-similarity and shows how and when these tools can tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students,

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71

Conceptual Structures: Information Processing in Mind and Machine

John F. Sowa

4.2

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72

Chromatic Graph Theory

Gary Chartrand, Ping Zhang

4.2

Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics.

This self-contained book first presents various fundamentals of grap

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73

Graph Theory, 1736-1936

Norman Biggs

4.2

74

GRAPH PAPER NOTEBOOK 1 CM SQUARE GRID: 1 Square/centimeter. Gray squares Large Size 8.5x11 Inches, 120 Pages. Graph Paper with one line per centimeter on letter-sized paper. Composition Notebook Blank Quad Ruled Student Teacher School Home Office

Graph Box

4.2

GRAPH PAPER NOTEBOOK 1CM SQUARE GRIDThis Graph Paper NoteBook is a perfect gift for kids, men, women, Perfect notebook with 1 cm squares is great for math from basic to Algebra and science students and ideal for designers,Geometry and Graphing, drawing functions, and generate ideas. It helps students to line up numbers, vertical math equations, plot coordinates, teaching multiplication tables.Thin

75

Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Prof. Edward R. Scheinerman and Daniel H. Ullman

4.2

This volume explores the various ways in which integer-valued graph theory concepts can be modified to derive nonintegral values. It explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics, including fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and addition

76

Graphing Paper Notebook: Coordinate Plane Graphing Paper Grid Worksheets

SMW Publishing

4.2

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77

Counting: The Art of Enumerative Combinatorics

George E. Martin

4.2

Counting: The Art of Enumerative Combinatorics provides an introduction to discrete mathematics that addresses questions that begin, How many ways are there to...For example, �How many ways are there to order a collection of 12 ice cream cones if 8 flavors are available?� At the end of the book the reader should be able to answer such nontrivial counting questions as, �How many ways are there to c

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78

The Probabilistic Method

Noga Alon, Joel H. Spencer

4.2

The leading reference on probabilistic methods in combinatorics-now expanded and updated

When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on recent developments, while adding useful exercise

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79

Random Graphs

Béla Bollobás

4.2

This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up-to-date and comprehensive account of random graph theory. The theory estimates the number of graphs of a given degree that exhibit certain properti

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80

Probability on Graphs: Random Processes on Graphs and Lattices

Geoffrey Grimmett

4.2

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for fe

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81

Graphical Models

Steffen L. Lauritzen

4.2

The application of graph theory to modelling systems began in several scientific areas, among them statistical physics (the study of large particle systems), genetics (studying inheritable properties of natural species), and interactions in contingency tables. The use of graphical models in statistics has increased considerably in these and other areas such as artificial intelligence, and the theo

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82

Network Flows: Theory, Algorithms, and Applications

Ravindra K. Ahuja, Thomas L. Magnanti, James B. Orlin

4.2

A comprehensive introduction to network flows that brings together the classic and the contemporary aspects of the field, and provides an integrative view of theory, algorithms, and applications.
presents in-depth, self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including descriptions of polynomial-time algorithms for these core models. emphasizes powerfu

83

INFORMATION GRAPHICS

HARRIS

4.2

This beautifully illustrated book is the first complete handbook to visual information. Well written, easy to use, and carefully indexed, it describes the full range of charts, graphs, maps, diagrams, and tables used daily to manage, analyze, and communicate information. It features over 3,000 illustrations, making it an ideal source for ideas on how to present information. It is an invaluable too

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84

How to Lie with Charts: Fourth Edition

Gerald Everett Jones

4.2

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85

Abacus Mind Math Level 1 Workbook 1 of 2: Excel at Mind Math with Soroban, a Japanese Abacus

SAI Speed Math Academy

4.2

Abacus Mind Math Level 1 - Workboook 1 of 2 (for students):
This is a Workbook. It contains only practice work for children/adults who are trying to learn soroban. Instructions on how to use this workbook, how to learn soroban, and how to teach children soroban are all covered in the Instruction book which is sold seperately under the title: Abacus Mind Math Instruction Book Level 1: Step by Ste

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86

Counseling the Culturally Diverse: Theory and Practice

Derald Wing Sue

4.1

A brand new, fully updated edition of the most widely-used, frequently-cited, and critically acclaimed multicultural text in the mental health field

This fully revised, 8th edition of the market-leading textbook on multicultural counseling comprehensively covers the most recent research and theoretical formulations that introduce and analyze emerging important multicultural topical developments. It

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87

Programming Challenges: The Programming Contest Training Manual

Steven S. Skiena, Miguel A. Revilla

4.1

There are many distinct pleasures associated with computer programming. Craftsm- ship has its quiet rewards, the satisfaction that comes from building a useful object and making it work. Excitement arrives with the ?ash of insight that cracks a previously intractable problem. The spiritual quest for elegance can turn the hacker into an artist. Therearepleasuresinparsimony, insqueezingthelastdropof

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88

Topics in Graph Theory: Graphs and Their Cartesian Product

Wilfried Imrich, Sandi Klavzar, Douglas F Rall

4.1

From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way, this book can be used for personal study in advanc

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89

Abacus Mind Math Instruction Book Level 1: Step by Step Guide to Excel at Mind Math with Soroban, a Japanese Abacus

SAI Speed Math Academy

4.1

Abacus Mind Math Instruction Book Level 1 (for teachers and parents):
Goal for Level - 1 Addition - without carryover problems Subtraction - without borrowing problems Topics covered: Basics of abacus How to do mind math How to do dictation 5 exchange concepts explained in detail with examples Skill building activities explained

Instruction book includes:
Examples for each concept with detailed p

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90

Spectral Graph Theory

Fan R. K. Chung

4.1

Based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University, this exposition can be likened to a conversation with a good teacher - one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas.

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91

Complex Network Analysis in Python: Recognize - Construct - Visualize - Analyze - Interpret

Dmitry Zinoviev

4.1

92

The Shroud of Turin: First Century After Christ! (Second Edition)

Giulio Fanti

4.1

The Turin Shroud is the most important and studied relic in the world. Many papers on it have recently appeared in important scientific journals. Scientific studies on the relic until today have failed to provide conclusive answers about the identity of the enveloped man and the dynamics regarding the image formation impressed therein. This book not only addresses these issues in a scientific and

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93

Abacus Mind Math Level 1 Workbook 2 of 2: Excel at Mind Math with Soroban, a Japanese Abacus

SAI Speed Math Academy

4.1

Abacus Mind Math Level 1 - Workbook 2 (for students):

Topics covered:
Dictation
Plus and minus 2, 3, and 4 of 5 exchange concepts
Workbook 2 includes over 1575 practice problems for children to learn and master concepts introduced.

Use this practice Workbook - 2 after completing:
Abacus Mind Math Level 1 Workbook 1: Excel at Mind Math with Soroban, a Japanese Abacus

Corresponding instruction for teach

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94

Handbook of Graphs and Networks: From the Genome to the Internet

Stefan Bornholdt, Heinz Georg Schuster

4.1

Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are p

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95

Schaum's Outline of Combinatorics

V. K. Balakrishnan

4.1

Confusing Textbooks?

Missed Lectures?

Tough Test Questions?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also g

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96

Graph Coloring Problems

Tommy R. Jensen, Bjarne Toft

4.1

Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems

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97

Graph Databases

Ian Robinson, Jim Webber, Emil Eifrem

4.0

Discover how graph databases can help you manage and query highly connected data. With this practical book, you’ll learn how to design and implement a graph database that brings the power of graphs to bear on a broad range of problem domains. Whether you want to speed up your response to user queries or build a database that can adapt as your business evolves, this book shows you how to apply the

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98

Probability on Trees and Networks

Russell Lyons

4.0

Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition

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99

Words and Graphs

Sergey Kitaev, Vadim Lozin

4.0

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100

Graph Theory Applications

L.R. Foulds

4.0

The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems