| 严格有向图Hamilton性质的研究 |
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| 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(自然科学版), 2005, 26(2): 83-86 |
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| 作者姓名： | 胡红萍 胡红莉 王建中 |
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| 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 |
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| 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 |
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| 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.
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| 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： | 2004-04-24 |
A Sufficient and Necessary Condition of Digraph with Directed Hamiltonian Path |
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| 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 |
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| Authors: | HU Hong-ping HU Hong-li WANG Jian-zhong |
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| Affiliation: | HU Hong-ping~1,HU Hong-li~2,WANG Jian-zhong~1 |
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| 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. |
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| Keywords: | digraph strictly directed bipartite graph Hamiltonian path track |
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