Graph Theory

by Bin, Xiong; Zhongyi, Zheng; Ruifang, Liu; Mingqing, Zhai; Yuanqing, Lin

• ISBN13: 9789814271127
• ISBN10: 9814271128
• Format: Paperback
• Copyright: 2010-05-30
• Publisher: World Scientific Pub Co Inc

Summary

In 1736, the mathematician Euler invented graph theory while solving the Konigsberg seven-bridge problem. Over 200 years later, graph theory remains the skeleton content of discrete mathematics, which serves as a theoretical basis for computer science and network information science. This book introduces some basic knowledge and the primary methods in graph theory by many interesting problems and games.

Table of Contents

Introduction	p. Vii
Definition of Graph	p. 1
Degree of a Vertex	p. 13
Turán's Theorem	p. 24
Tree	p. 40
Euler's Problem	p. 51
Hamilton's Problem	p. 63
Planar Graph	p. 75
Ramsey's Problem	p. 84
Tournament	p. 101
Solutions	p. 110
Index	p. 145
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