代数图论（英文版） 下载 pdf 百度网盘 epub 免费 2025 电子书 mobi 在线

　　Many authors begin their preface by confidently describing how their book arose.We started this project so long ago， and our memories are so weak， that we could not do this truthfully.Others begin by stating why they decided to write.Thanks to Freud， we know that unconscious reasons can be as important as conscious ones， and so this seems impossible， too.Moreover， the real question that should be addressed is why the reader should struggle with this text.

Preface 

1Introduction 

PART ONE—LINEAR ALGEBRA IN GRAPH THEORY 

2 The spectrum of a graph 

3 RegulaLr graphs and line graphs 

4Cycles and cuts 

5 Spanning trees and associated structures 

6The tree—munber 

7Deteminant expansions 

8Vertex—partitions and the 8pectrum 

PART TWO—COLOURING PROBLEMS 

9The chromatic polynorrual 

10Subgraph expansions 

11The multiplicative expansion 

12The induced subgraph expansion 

13The Tutte polynomial 

14Chromatic polynomials and spanning trees 

PART THREE—SYMMETRY AND REGULARITY 

15Automorphisms of graphs 

16Vertex—transitive graphs 

17Symmetric graphs 

18Symmetric graphs of degree three 

19The covering—graph construction 

20Distance—transitive graphs 

21Feasibility ofintersection arrays 

22 Imprimitivity 

23Minimal regular graphs with given girth 

References 

Index

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