Synopsis
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 The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs.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 books
Every 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.
Review
a popular point of entry to the field...has evolved with the field from a purely mathematical treatment to one that also addresses the needs of computer scientists.
-L'Enseignement Mathématique
...emphasizes clear exposition, well-written proofs, and many original and innovative exercises-of varying difficulty and challenge...For 25 years, Graphs & Digraphs, in its various editions, has served as an exemplary introduction to the emerging mathematical disciplines of graph theories, for advanced undergraduate and graduate students. It has also served established graph theorists, combinatorialists, and other discrete mathematicians, as well as computer scientists and chemists, as a useful reference work. The fourth edition continues these fine traditions.
-Zentralblatt MATH
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