The Petersen Graph

The Petersen Graph PDF Author: D. A. Holton
Publisher: Cambridge University Press
ISBN: 0521435943
Category : Mathematics
Languages : en
Pages : 367

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Book Description
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.

The Petersen Graph

The Petersen Graph PDF Author: D. A. Holton
Publisher: Cambridge University Press
ISBN: 0521435943
Category : Mathematics
Languages : en
Pages : 367

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Book Description
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.

Algorithms and Discrete Applied Mathematics

Algorithms and Discrete Applied Mathematics PDF Author: Manoj Changat
Publisher: Springer Nature
ISBN: 3030392198
Category : Mathematics
Languages : en
Pages : 497

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Book Description
This book constitutes the proceedings of the 6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020, held in Hyderabad, India, in February 2020. The 38 papers presented together with 2 invited talks in this volume were carefully reviewed and selected from 102 submissions. The papers are organized in topical sections on graph algorithms, graph theory, combinatorial optimization, distributed algorithms, combinatorial algorithms, and computational complexity.

Discrete Mathematics

Discrete Mathematics PDF Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342

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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.

Pearls in Graph Theory

Pearls in Graph Theory PDF Author: Nora Hartsfield
Publisher: Courier Corporation
ISBN: 0486315525
Category : Mathematics
Languages : en
Pages : 276

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Book Description
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.

The Fascinating World of Graph Theory

The Fascinating World of Graph Theory PDF Author: Arthur Benjamin
Publisher: Princeton University Press
ISBN: 0691175632
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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 problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

Integer Flows and Cycle Covers of Graphs

Integer Flows and Cycle Covers of Graphs PDF Author: Cun-Quan Zhang
Publisher: CRC Press
ISBN: 9780824797904
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Focuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results.

Algebraic Graph Theory

Algebraic Graph Theory PDF Author: Chris Godsil
Publisher: Springer Science & Business Media
ISBN: 1461301637
Category : Mathematics
Languages : en
Pages : 453

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Book Description
This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.

Graph Theory

Graph Theory PDF Author: W. T. Tutte
Publisher: Cambridge University Press
ISBN: 9780521794893
Category : Mathematics
Languages : en
Pages : 364

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Book Description
Designed for the non-specialist, this classic text by a world expert is an invaluable reference tool for those interested in a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding both as a text and reference for students and researchers in graph theory and its applications.The author approaches the subject with a lively writing style. The reader will delight to discover that the topics in this book are coherently unified and include some of the deepest and most beautiful developments in graph theory.

A First Course in Graph Theory

A First Course in Graph Theory PDF Author: Gary Chartrand
Publisher: Courier Corporation
ISBN: 0486297306
Category : Mathematics
Languages : en
Pages : 466

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Book Description
Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Graph Theory, 1736-1936

Graph Theory, 1736-1936 PDF Author: Norman Biggs
Publisher: Oxford University Press
ISBN: 9780198539162
Category : Mathematics
Languages : en
Pages : 260

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Book Description
First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.