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 epub pdf mobi txt 电子书 下载 2025
现代图论 下载 epub mobi pdf txt 电子书 2025
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utm的书都是很好的,需要花时间好好读
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呵呵
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对于学的比自己不好的人,我会说加油!我会说我尽我所知的告诉你,因为学习是一件事:
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(博士时候,我做实验,我做了上百次实验,我的实验结果非常漂亮。。。)
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学数学是一件艰苦而又有乐趣的事情,人生总有几座高峰要你去攀登,那就把其中一个山峰定义为叫做数学吧,因为它值得你去做。。。
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室友高大上的东西,我是看不懂