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Algebraic Graph Theory
monograph
Author(s):
Norman Biggs
Publication date
(Online):
August 05 2012
Publisher:
Cambridge University Press
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Related collections
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
Author and book information
Book
ISBN (Print):
9780521203357
ISBN (Print):
9780521458979
ISBN (Electronic):
9780511608704
Publication date (Online):
August 05 2012
Publication date (Print):
May 16 1974
DOI:
10.1017/CBO9780511608704
SO-VID:
fa0b0735-deff-4b37-a45a-7b654a9f8e96
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https://www.cambridge.org/core/terms
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Book chapters
pp. vii
Preface
pp. 1
Introduction
pp. 7
The spectrum of a graph
pp. 14
Regular graphs and line graphs
pp. 23
Cycles and cuts
pp. 31
Spanning trees and associated structures
pp. 38
The tree-number
pp. 44
Deteminant expansions
pp. 52
Vertex-partitions and the spectrum
pp. 63
The chromatic polynomial
pp. 73
Subgraph expansions
pp. 81
The multiplicative expansion
pp. 89
The induced subgraph expansion
pp. 97
The Tutte polynomial
pp. 106
Chromatic polynomials and spanning trees
pp. 115
Automorphisms of graphs
pp. 122
Vertex-transitive graphs
pp. 130
Symmetric graphs
pp. 138
Symmetric graphs of degree three
pp. 149
The covering-graph construction
pp. 155
Distance-transitive graphs
pp. 164
Feasibility of intersection arrays
pp. 173
Imprimitivity
pp. 180
Minimal regular graphs with given girth
pp. 191
References
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