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内容简介

　　Graph theory is a young but rapidly maturing subject. Even during the quarter of a century that I lectured on it in Cambridge， it changed considerably， and I have found that there is a clear need for a text which introduces the reader not only to the well-established results， but to many of the newer developments as well. It is hoped that this volume will go some way towards satisfying that need.

目录

Apologia
Preface
I Fundamentals
I.1 Definitions
I.2 Paths， Cycles， and Trees
I.3 Hamilton Cycles and Euler Circuits
I.4 Planar Graphs
I.5 An Application of Euler Trails to Algebra
I.6 Exercises
II Electrical Networks
II.1 Graphs and Electrical Networks
II.2 Squaring the Square
II.3 Vector Spaces and Matrices Associated with Graphs
II.4 Exercises
II.5 Notes
III Flows， Connectivity and Matching
III.1 Flows in Directed Graphs
III.2 Connectivity and Menger‘s Theorem
III.3 Matching
III.4 Tutte‘s 1-Factor Theorem
……
Ⅳ Extremal Problems
Ⅴ Colouring
Ⅵ Ramsey Theory
Ⅶ Random Graphs
Ⅷ Graphs Groups and Matrices
Ⅸ Random Walks on Graphs
Ⅹ The Tutte Polynomial
Symbol Inedx
Name Index
Subject Index

前言/序言

现代图论 下载 mobi epub pdf txt 电子书 格式

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　　 我读《什么是数学》，我告诉你，我读了一年，不断的读，加上读别的书，慢慢理解了，很多问题就解决了，看别的书，就容易了！其实我只是学习的顺序发生错误，要《代数》和《拓扑》先行，其他的就很快了理解是需要时间，不能着急，不能半途而废。记住一定要代数现行，读代数理解概念，慢慢读，慢慢思考，读数学的时候最重要的是速度要慢。。。

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