Graphs & Digraphs (Discrete Mathematics and Its Applications)

📘 Book Details

• Author: Gary Chartrand

• Publisher: CRC Press

• Language: English

• Edition: 6th Edition

• ISBN: 9781498735766

• Number of Pages: 640

• Cover: Hardcover

• Dimensions: 9.4 x 6.5 x 1.5 inches

• Illustrations: 343 Black & White Illustrations

📝 About the Book

Graphs & Digraphs, Sixth Edition by Gary Chartrand, is a definitive and advanced textbook on graph theory that expertly blends theory, applications, and historical perspectives. Released on December 22, 2015, this 640-page hardcover edition provides students and instructors with an updated, comprehensive exploration of the fascinating world of graph theory.

This edition has been fully reorganized to enhance readability and improve the flow of material, making it easier for both students and instructors to follow. The book presents more than 160 new exercises, a host of new theorems, concepts, and examples, and significant advancements in long-standing conjectures, including the Hamiltonian Factorization Conjecture, 1-Factorization Conjecture, and Alspach’s Conjecture on graph decompositions.

The book also introduces a proof of the perfect graph theorem and includes a revised chapter on the probabilistic method in graph theory, providing a deeper understanding of results integrated throughout the text. Additionally, helpful sections such as indices of terms, names of mathematicians, symbols, and references are included to aid further study.

With clear proofs, abundant examples, and numerous exercises, Graphs & Digraphs remains an essential text for advanced undergraduate or introductory graduate-level courses in graph theory. The book is ideal for students who want to explore the history and diverse applications of graph theory while gaining a deep understanding of its key concepts. It also provides instructors with valuable resources, including hints and solutions to odd-numbered exercises and a complete solutions manual with course adoption.