Graphs & Digraphs Seventh Edition masterfully employs student-friendly exposition clear proofs abundant examples and numerous exercises to provide an essential understanding of the concepts theorems history and applications of graph theory. This classic text widely popular among students and instructors alike for decades is thoroughly streamlined in this new seventh edition to present a text consistent with contemporary expectations. Changes and updates to this edition include: A rewrite of four chapters from the ground up Streamlining by over a third for efficient comprehensive coverage of graph theory Flexible structure with foundational Chapters 1â6 and customizable topics in Chapters 7â11 Incorporation of the latest developments in fundamental graph theory Statements of recent groundbreaking discoveries even if proofs are beyond scope Completely reorganized chapters on traversability connectivity coloring and extremal graph theory to reflect recent developments The text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subjectâs fascinating history while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly carefully written book that emphasizes the mathematical theory of graphs in all their forms. While a certain amount of mathematical maturity including a solid understanding of proof is required to appreciate the material with a small number of exceptions this is the only pre-requisite. In addition owing to the exhilarating pace of progress in the field there have been countless developments in fundamental graph theory ever since the previous edition and many of these discoveries have been incorporated into the book. Of course some of the proofs of these results are beyond the scope of the book in which cases we have only included their statements. In other cases however these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory. . Language: English