Graphs & Digraphs, Fourth Edition Review

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(More customer reviews)This was the one book assigned for a class where I did NOT have to go out and buy a few other books in order to round out the assigned text. Chartrand has written books on graph theory directed at students of many different levels, and this one is advanced -- but the keynote attribute of this book its thoroughness and accuracy. The proofs depend upon appropriate use of accurate definitions, and here the definitions are VERY clear and specific -- therefore in constructing the proofs in the exercises the student really comes to understand the meaning of the definitions and the concepts they describe. At first I thought this book was going to be unapproachable because it does not kill you with friendly banter, but I have come to appreciate its solid approach and trustworthiness not to lead anyone astray mathematically. By the way, graph theory is really fun. Don't pass us the chance to study it!

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With a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has remained a popular point of entry to the field, and through its various editions, has evolved with the field from a purely mathematical treatment to one that also addresses the mathematical needs of computer scientists.Carefully updated, streamlined, and enhanced with new features, Graphs & Digraphs, Fourth Edition reflects many of the developments in graph theory that have emerged in recent years. The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs.New in the Fourth Edition:
Expanded treatment of Ramsey theory
Major revisions to the material on domination and distance
New material on list colorings that includes interesting recent results
A solutions manual covering many of the exercises available to instructors with qualifying course adoptions
A comprehensive bibliography including an updated list of graph theory booksEvery edition of Graphs & Digraphs has been unique in its reflection the subject as one that is important, intriguing, and most of all beautiful. The fourth edition continues that tradition, offering a comprehensive, tightly integrated, and up-to-date introduction that imparts an appreciation as well as a solid understanding of the material.

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