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《图论及其应用》
图论及其应用
作者:卜月华
译者:
开本:
ISBN:781050601
出版社:东南大学出版社
出版日期:2002-07-01
装帧:
书夫曼编号:928534
原价: 15
普通会员:14.03  一星会员:13.61
二星会员:13.33  三星会员:13.05

内容简介
  本书共九章。主要包括图的基本概念、图的连通性、树、Euler环游和Hamilton回路、图的匹配与独立集、图的染色、网络选址问题,网络流及网络模型应用实例等内容。本书不仅介绍了图论的基本原理,也介绍了如何应用图论方法解决实际问题。
本书论证严密,深入浅出,清晰易懂,并配有适当的例题和习题,可作为高等院校本科生图论课的教材或参考书,也可作为数模集训的参考书。



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目录

目      录  1    图的基本概念                                      1.  1    图论发展史                                      1.  2    图的定义                                      1.  3    顶点的度                                      1.  4    子图与图的运算                                      1.  5    一些特殊的图                                      1.  6    图的矩阵表示                                      习题一                                      2    图的连通性                                      2.  1    路和回路                                      2.  2    连通图                                      2.  3    连通度                                      2.  4    可靠通讯网络的构造                                      2.  5    最短路问题                                      2.  6    单行道路系统的构造                                      习题二                                      3    树                                      3.  1    树的基本性质                                      3.  2    生成树                                      3.  3    最优生成树                                      3.  4    树形图                                      习题三                                      4  Euler环游和Hamilton回路                                      4.  1    Euler环游                                      4.  2    中国邮路问题                                      4.  3    Hamilton图                                      4.  4    旅行售货员问题                                      习题四                                      5    图的匹配与独立集                                      5.  1    二分图                                      5.  2    对    集                                      5.  3    二分图的对集                                      5.  4    二分图最大对集算法                                      5.  5    二部图的最大最小对集                                      5.  6    最优分派问题                                      5.  7    独立集和覆盖                                      5.  8    Ramsey数                                      习题五                                      6    图的染色                                      6.  1    顶点染色                                      6.  2    平面图和五色定理                                      6.  3    边染色                                      6.  4    列表染色                                      6.  5    圆染色和圆色数                                      习题六                                      7    网络选址问题                                      7.  1    基本概念                                      7.  2    中心点问题                                      7.  3    中位点问题                                      8    网络流                                      8.  1    基本概念和基本定理                                      8.  2    最大流问题的算法                                      8.  3    最小费用流问题                                      8.  4    最小费用流的算法                                      8.  5    用最大流进行薄弱环节分析                                      习题八                                      9    图与网络模型应用实例                                      9.  1    纽约市街道清扫规划                                      9.  2    灾情巡视路线问题  CMCM-98B题                                        9.  3    计算机网络的最短传输时间  AMCM-94B题                                        参考文献


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