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Algebraic Graph Theory

✍ Scribed by Chris Godsil, Gordon Royle (auth.)

Publisher
Springer-Verlag New York
Year
2001
Tongue
English
Leaves
464
Series
Graduate Texts in Mathematics 207
Edition
1
Category
Library
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✦ Synopsis

C. Godsil and G.F. Royle

Algebraic Graph Theory

"A welcome addition to the literature . . . beautifully written and wide-ranging in its coverage."β€”MATHEMATICAL REVIEWS

"An accessible introduction to the research literature and to important open questions in modern algebraic graph theory"β€”L'ENSEIGNEMENT MATHEMATIQUE

✦ Table of Contents

Front Matter....Pages i-xix
Graphs....Pages 1-18
Groups....Pages 19-32
Transitive Graphs....Pages 33-58
Arc-Transitive Graphs....Pages 59-76
Generalized Polygons and Moore Graphs....Pages 77-101
Homomorphisms....Pages 103-134
Kneser Graphs....Pages 135-161
Matrix Theory....Pages 163-192
Interlacing....Pages 193-216
Strongly Regular Graphs....Pages 217-247
Two-Graphs....Pages 249-263
Line Graphs and Eigenvalues....Pages 265-278
The Laplacian of a Graph....Pages 279-306
Cuts and Flows....Pages 307-339
The Rank Polynomial....Pages 341-372
Knots....Pages 373-393
Knots and Eulerian Cycles....Pages 395-425
Back Matter....Pages 427-443

✦ Subjects

Combinatorics

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