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Viser: Algebraic Graph Theory
Algebraic Graph Theory
Chris Godsil og Gordon Royle
(2001)
Sprog: Engelsk
Springer New York
469,00 kr.
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Detaljer om varen
- 1. Udgave
- Paperback
- Udgiver: Springer New York (April 2001)
- Forfattere: Chris Godsil og Gordon Royle
- ISBN: 9780387952208
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.
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.
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