Algebraic Graph Theory

Chris Godsil, Gordon F. Royle

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English

Springer-Verlag New York Inc.
20 April 2001

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, the authors tried to keep the treatment self-contained.

By: Chris Godsil, Gordon F. Royle
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2001 ed.
Volume: 207
Dimensions: Height: 235mm, Width: 155mm, Spine: 25mm
Weight: 1.830kg
ISBN: 9780387952413
ISBN 10: 0387952411
Series: Graduate Texts in Mathematics
Pages: 443
Publication Date: 20 April 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
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