determination and application of hamilton graph

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1、目录中文摘要.............................................................................................................1中文关键词..........................................................................................................1英文摘要..........................................

2、...................................................................1英文关键词..........................................................................................................11引言...........................................................................................

3、...................12相关概念........................................................................................................23哈密尔顿图的判定...........................................................................................23.1定义判定法...................................

4、..................................................................33.2充分条件判定法...............................................................................................33.3必要条件判定法...........................................................................................

5、....44哈密尔顿图的应用...........................................................................................54.1在相邻座位问题上的应用..................................................................................54.2在旅行售货问题上的应用.........................................................

6、.........................65结论...............................................................................................................8参考文献.............................................................................................................8哈密尔顿图的判定及应用摘要:哈密尔顿图

7、起源于哈密尔顿发现的一个环球游戏,它的判定方法有很多,但目前还没有找到判定的充分必要条件,本文对定义判定法,充分条件判定法,必要条件判定法三种判定方法进行说明,并对部分判定法进行举例.同时哈密尔顿图在实际中也有很多应用,本篇文章总结了哈密尔顿图在相邻座位问题和旅行售货问题两类生活实际中的应用,并进行了相应的举例说明.关键词:哈密尔顿图；顶点的度；赋权图DeterminationandApplicationofHamiltonGraphAbstract:HamiltongraphoriginatedfromHamiltondiscovereda

8、universalgame,therearemanymethodsforjudgingit,butthereisnofounddeterminethenecessa