Introduction to Graph Theory
Introduction to Graph Theory

Author: Richard J. Trudeau

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 242

ISBN-13: 0486318664

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Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

The Fascinating World of Graph Theory
The Fascinating World of Graph Theory

Author: Arthur Benjamin

Publisher: Princeton University Press

Published: 2017-06-06

Total Pages: 338

ISBN-13: 0691175632

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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.

A First Course in Graph Theory
A First Course in Graph Theory

Author: Gary Chartrand

Publisher: Courier Corporation

Published: 2013-05-20

Total Pages: 466

ISBN-13: 0486297306

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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.

Pearls in Graph Theory
Pearls in Graph Theory

Author: Nora Hartsfield

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 276

ISBN-13: 0486315525

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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.

Combinatorics and Graph Theory
Combinatorics and Graph Theory

Author: John Harris

Publisher: Springer Science & Business Media

Published: 2009-04-03

Total Pages: 392

ISBN-13: 0387797114

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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 results to convince students that mathematics is a living discipline.

Graphs and Matrices
Graphs and Matrices

Author: Ravindra B. Bapat

Publisher: Springer

Published: 2014-09-19

Total Pages: 197

ISBN-13: 1447165691

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This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.