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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. Three appendixes review important facts about sets and logic, equivalence relations and functions, and the methods of proof. The text concludes with solutions or hints for odd-numbered exercises, in addition to references, indexes, and a list of symbols.
- Sales Rank: #42545 in Books
- Published on: 2012-02-15
- Released on: 2012-01-18
- Original language: English
- Number of items: 1
- Dimensions: 9.10" h x .90" w x 6.10" l, 1.30 pounds
- Binding: Paperback
- 464 pages
Most helpful customer reviews
30 of 30 people found the following review helpful.
A very gentle first course in graph theory
By Marc
This is about as intro of a course to Graph theory that you can find. Even if you know graph theory this actually has alot of coverage I have not seen in many texts.
It is more extensive of treatment than you will find in a discrete math textbook. This has both some of the standard metaphors employed in texts and a few very good orginal metaphors.
Where this book really shines is the author really drives home how to transform applied problems into graph theory. Most books show you applied problems, but fail to inspire and give the student the ability to explore their own problems into graphs. This book does that every chapter.
The student is eased into concepts, and then more depth is added through examples and theorems. There are excellent applied problems and examples.
Chartland's other book on graph theory has great examples and applications, however, this book has fewer but provides better instruction.
This is a great self-study, especially if you had graph theory in another textbook and want more but are not ready for a purely proof/theorem approach taken by alot of the more rigorous texts.
7 of 7 people found the following review helpful.
Nice introduction to graph theory
By Jerome Heaven
I will offer a brief review from the perspective of an instructor. I like this text quite a bit. It covers all the fundamental topics one would expect to see in an intro graph theory course. In fact, there is more than enough material to fit in one semester. Also, there are enough challenging excursions for interested and/or talented students. The exercises follow the typical order, that being relatively easy to more difficult. Overall, a good book with a clear and precise exposition.
7 of 7 people found the following review helpful.
Excellent introduction to Graph Theory
By ShadabK
I am a not a Math major but this book helped me learn Graph Theory on my own. It was full of illustrations, and the organization is really good. Most of the famous theorems are accompanied by their proofs.
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