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严格有向图Hamilton性质的研究
引用本文:胡红萍,胡红莉,王建中.严格有向图Hamilton性质的研究[J].中北大学学报,2005,26(2):83-86.
作者姓名:胡红萍  胡红莉  王建中
作者单位:中北大学应用数学系,山西省灵石二中,中北大学应用数学系 山西太原030051,山西灵石031300,山西太原030051
基金项目:山西省自然科学基金资助项目,华北工学院科学基金资助项目
摘    要:对图的邻接矩阵赋予U-轨道的定义和严格有向二部图的定义,利用U-轨道的定义和Hamilton路的定义论证了严格有向图含有向Hamilton路的充要条件和严格有向二部图为Hamilton图的充分条件.

关 键 词:有向图  严格有向二部图  Hamilton路  轨道
文章编号:1006-5431(2005)02-0083-04
修稿时间:2004年4月24日

A Sufficient and Necessary Condition of Digraph with Directed Hamiltonian Path
HU Hong-ping,HU Hong-li,WANG Jian-zhong.A Sufficient and Necessary Condition of Digraph with Directed Hamiltonian Path[J].Journal of North University of China,2005,26(2):83-86.
Authors:HU Hong-ping  HU Hong-li  WANG Jian-zhong
Affiliation:HU Hong-ping~1,HU Hong-li~2,WANG Jian-zhong~1
Abstract:In this paper, the U-track and strictly directed bipartite graph are defined. A sufficicent and necessary condition for digraph having Hamiltonian path by use of the defintion of U-track and a sufficient condition for strictly directed bipartite graph to be hamiltonian by use of the definition of Hamiltonian path are proved.
Keywords:digraph  strictly directed bipartite graph  Hamiltonian path  track
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