Algebraic Graph Theory

Chris Godsil, Gordon F. Royle

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English

Springer Verlag
01 June 2001

Mathematics & Sciences; Algebra; Combinatorics & graph theory

Series: Graduate Texts in Mathematics

Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors' goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather than classical topics. While placing a strong emphasis on concrete examples they tried to keep the treatment self-contained.

By: Chris Godsil, Gordon F. Royle
Imprint: Springer Verlag
Country of Publication: United States
Volume: v. 207
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 1.430kg
ISBN: 9780387952208
ISBN 10: 0387952209
Series: Graduate Texts in Mathematics
Pages: 464
Publication Date: 01 June 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Graphs.- Groups.- Transitive Graphs.- Arc-Transitive Graphs.- Generalized Polygons and Moore Graphs.- Homomorphisms.- Kneser Graphs.- Matrix Theory.- Interlacing.- Strongly Regular Graphs.- Two-Graphs.- Line Graphs and Eigenvalues.- The Laplacian of a Graph.- Cuts and Flows.- The Rank Polynomial.- Knots.- Knots and Eulerian Cycles.- Glossary of Symbols.- Index.

Reviews for Algebraic Graph Theory

"C. Godsil and G.F. Royle Algebraic Graph Theory ""A welcome addition to the literature . . . beautifully written and wide-ranging in its coverage.""—MATHEMATICAL REVIEWS ""An accessible introduction to the research literature and to important open questions in modern algebraic graph theory""—L'ENSEIGNEMENT MATHEMATIQUE"