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The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. Gary Chartrand continues to be prolific, even in retirement. The book is a fine introduction to the field and is rich with real world applications of this interdisciplinary subject.
Three appendices provide some background in discrete mathematics, such as set theory, equivalence relations and proof techniques.
What sets the book apart are two of the excursions in particular, that offer the reader a historical perspective:. The book is appropriate for beginning undergraduates who desire to learn some graph theory. There are a good number of exercises with some solutions, and more than references. This makes the text ideal for self-study as well. Having used prior editions to interest students in the subject, I look forward to recommending this update.
Skip to main content. Search form Search. Login Join Give Shops. Halmos - Lester R. Ford Awards Merten M. Gary Chartrand and Ping Zhang. Publication Date:. Number of Pages:. BLL Rating:. What sets the book apart are two of the excursions in particular, that offer the reader a historical perspective: At the end of a chapter on transversability, Chartrand and Zhang write about the early books on graph theory, which gives the reader a perspective on this subject. All these serve as a friendly introduction to acquaintance graphs.
John T. Introduction 2. Degrees 3. Isomorphic Group 4. Trees 5. Connectivity 6. Traversability 7. Digraphs 8. Matchings and Factorization 9. Planarity Coloring Graphs Ramsy Numbers Distance Graph Theory. Log in to post comments.
The Math Citadel
Graph theory is a highly applicable subject in mathematics, from electrical engineering to logistics to chemistry to network engineering, its development has opened up new perspectives on complex problems. Gary Chartrand is one of the most influential voices in graph theory after Harary and Kirchoff. I would say it covers most major basic topics in graph theory, requiring very little previous mathematical background. That said, I would have liked to see more linear algebra and ties to graph theory using the adjacency and other matrix representations, which woefully only merited a tiny section of the text. It made the book very readable, though it felt like material was omitted to make room for these stories.
A First Course in Graph Theory
A First Course in Graph Theory. Gary Chartrand , Ping Zhang. This comprehensive text offers undergraduates a remarkably student-friendly introduction to graph theory. Written by two of the field's most prominent experts, it takes an engaging approach that emphasizes graph theory's history. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in an evolving subject and its many applications. Optional sections designated as "excursion" and "exploration" present interesting sidelights of graph theory and touch upon topics that allow students the opportunity to experiment and use their imaginations.
A first course in graph theory
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