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Algebraic Graph Theory Book

Algebraic Graph Theory
Algebraic Graph Theory, In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and, Algebraic Graph Theory has a rating of 4 stars
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Algebraic Graph Theory, In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and, Algebraic Graph Theory
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  • Algebraic Graph Theory
  • Written by author Norman L. Biggs
  • Published by Cambridge University Press, February 1994
  • In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and
  • A revision of an important textbook: essential reading for all combinatorialists.
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Authors

Preface
1Introduction1
Pt. 1Linear Algebra in Graph Theory
2The spectrum of a graph7
3Regular graphs and line graphs14
4Cycles and cuts23
5Spanning trees and associated structures31
6The tree-number38
7Determinant expansions44
8Vertex-partitions and the spectrum52
Pt. 2Colouring Problems
9The chromatic polynomial63
10Subgraph expansions73
11The multiplicative expansion81
12The induced subgraph expansion89
13The Tutte polynomial97
14Chromatic polynomials and spanning trees106
Pt. 3Symmetry and Regulation
15Automorphisms of graphs115
16Vertex-transitive graphs122
17Symmetric graphs130
18Symmetric graphs of degree three138
19The covering-graph construction149
20Distance-transitive graphs155
21Feasibility of intersection arrays164
22Imprimitivity173
23Minimal regular graphs with given girth180
References191
Index202


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Algebraic Graph Theory, In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and, Algebraic Graph Theory

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Algebraic Graph Theory, In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and, Algebraic Graph Theory

Algebraic Graph Theory

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Algebraic Graph Theory, In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and, Algebraic Graph Theory

Algebraic Graph Theory

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