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Title: Algebraic Graph Theory by Norman Biggs, B. Bollobas, W. Fulton, A. Katok, F. Kirwan, P. Sarnak ISBN: 0-521-20335-X Publisher: Cambridge University Press Pub. Date: 16 May, 1974 Format: Hardcover List Price(USD): $37.50 |
Average Customer Rating: 4 (1 review)
Rating: 4
Summary: Well written, intriguing, but somewhat dated
Comment: I found this book very clear, concise, and well written. Most proofs seemed effortless on both the author's and reader's part. Moreover, I found the content very interesting, especially the results on the spectrum of a graph, which simply represents the eigenvalues (and their multiplicities) of the adjacency matrix (although recently it has been defined in terms of the normalized incidence matrix). It amazed me just how much mathematics can be put to bear on such a simple notion of vertices and connections between them. The only downside to this book is that algebraic graph theory has moved in many new directions since the first edition (the second edition mostly states some recent results at the end of each chapter), and the interested reader may want to supplement this book or follow up this book with the following: "Spectral Graph Theory", by Fan Chung, "Algebraic Graph Theory", by Godsil et al., and "Modern Graph Theory", by Bollobas, all of which make for graduate-level reading. And to think that some mathematics departments still show little if any desire to support fellow mathematicians who study graph theory! Reading any of these books hopefully might alter some of those entrenched attitudes.
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Title: Algebraic Graph Theory by Chris D. Godsil, Gordon F. Royle ISBN: 0387952209 Publisher: Springer Verlag Pub. Date: 20 April, 2001 List Price(USD): $49.95 |
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Title: Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92) by Fan R. K. Chung ISBN: 0821803158 Publisher: American Mathematical Society Pub. Date: May, 1997 List Price(USD): $26.00 |
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Title: Topological Graph Theory by Jonathan L. Gross, Thomas W. Tucker ISBN: 0486417417 Publisher: Dover Pubns Pub. Date: 13 June, 2001 List Price(USD): $14.95 |
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Title: Handbook of Combinatorics : 2-volume set by Ronald L. Graham, Martin Grötschel, László Lovász ISBN: 0262571722 Publisher: MIT Press Pub. Date: 01 March, 2003 List Price(USD): $175.00 |
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Title: Modern Graph Theory by Bela Bollobas, Sheldon Axler, F. W. Gehring ISBN: 0387984887 Publisher: Springer Verlag Pub. Date: 01 July, 1998 List Price(USD): $49.95 |
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