- Series: Textbooks in Mathematics
- Hardcover: 600 pages
- Publisher: CRC Press; 1 edition (December 30, 1998)
- Language: English
- ISBN-10: 0849339820
- ISBN-13: 978-0849339820
- Product Dimensions: 1.2 x 7.5 x 10.5 inches
- Shipping Weight: 2.6 pounds
- Average Customer Review: 6 customer reviews
- Amazon Best Sellers Rank: #1,903,173 in Books (See Top 100 in Books)
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Graph Theory and Its Applications 1st Edition
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About the Author
Gross; Jonathan L. Columbia University, New York, New York, USA,Yellen; Jay Rollins College, Winter Park, Florida, USA,
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Top customer reviews
The text can be used in a one semester introductory graduate course in graph theory in a CS or math department, an advanced undergraduate seminar or as a reference book for an undergraduate course in discrete math.
Of special interest are the sections on Huffman trees and voltage graphs. The section on Hoffman trees is especially interesting to computer scientists. I believe this is the first book that devotes an entire section to the theoretical treatment of this very useful subject. Prof. Gross is a pioneer in voltage graphs and the treatment of this somewhat esoteric subject is lucid and complete.
Overall this textbook is excellent. The writing is clear and precise and the knowledge needed to read it is that of an advanced undergraduate student. However, the book could benefit from solutions to the exercises, or at least some selected exercises, some computer sciences oriented "practical" examples and projects and an instructor's manual.
I really like the book, and I recommend it very highly.
In over 500 pages, this book covers a lot of ground beyond the basics, such as topology of graphs, graph operations and mappings, voltage graphs, and surface imbeddings. Definitions are very clear, propositions and proofs are stated very clearly, and there are shrink-wrapped algorithms if you just want to apply them.
Requiring no previous knowledge of abstract algebra or graph theory, this is a great resource to have in your bookshelf.