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Book Categories |
Preface | ||
1 | Introduction | 1 |
Pt. 1 | Linear Algebra in Graph Theory | |
2 | The spectrum of a graph | 7 |
3 | Regular graphs and line graphs | 14 |
4 | Cycles and cuts | 23 |
5 | Spanning trees and associated structures | 31 |
6 | The tree-number | 38 |
7 | Determinant expansions | 44 |
8 | Vertex-partitions and the spectrum | 52 |
Pt. 2 | Colouring Problems | |
9 | The chromatic polynomial | 63 |
10 | Subgraph expansions | 73 |
11 | The multiplicative expansion | 81 |
12 | The induced subgraph expansion | 89 |
13 | The Tutte polynomial | 97 |
14 | Chromatic polynomials and spanning trees | 106 |
Pt. 3 | Symmetry and Regulation | |
15 | Automorphisms of graphs | 115 |
16 | Vertex-transitive graphs | 122 |
17 | Symmetric graphs | 130 |
18 | Symmetric graphs of degree three | 138 |
19 | The covering-graph construction | 149 |
20 | Distance-transitive graphs | 155 |
21 | Feasibility of intersection arrays | 164 |
22 | Imprimitivity | 173 |
23 | Minimal regular graphs with given girth | 180 |
References | 191 | |
Index | 202 |
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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |