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严格有向二部图含有向Hamilton路的一个充分条件

A Sufficient Condition of Strictly Directed Bipartite Graph with Directed Hamiltonian Path
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摘要  给出了严格有向二部图含有向Hamilton路的一个充分条件,即:设D是n阶严格有向二部图(其中V(D)=(X,Y),‖X|-|Y‖≤1),若V(D)中任两个不相邻的顶点x,y,都有d(x)+d(y)≥2n-4,则D含有向Hamilton路. A sufficient condition of strictly directed bipartite graph with directed Hamiltonian path is given, that is, suppose that D is a strictly directed Bipartite graph on n vertices, (in it V(D) = (X,Y), ||X| - |Y|| [less-than or equal to] 1), if two arbitrarily nonadjacent vertices x,y in V(D) have d(x)+d(y) greater than or equal 2n-4, then D has directed Hamiltonian path.
出处 《华北工学院学报》 EI 2005年第1期11-14,共4页 Journal of North China Institute of Technology
基金 2003年山西省自然科学基金 2004年中北大学校科学基金
关键词 二部图 HAMILTON路 充分条件 |X| 顶点 严格 strictly directed bipartite graph Hamiltonian path sufficient condition
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参考文献5

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二级参考文献7

  • 1Balakrishnan V K Ph D.Xschaum′s Outline of Theory and Problems of Graph Theory[M].Suzanne Rapcavage,1997..
  • 2Balakrishnan V K, Ph D. Xschaum's Outline of Theory and Problems of Graph Theory[M]. Suzanne Rapcavage,1997.
  • 3Gross Jonathan, Yellen Jan, CM P. Graph Theory and Its Applications[M]. Printed in the United States of Ameri-ca, 1999.
  • 4Bang-Jensen Jorgen, Guo Yubao, Yeo Aners. A New Sufficient Condition for a Digraph to be Hamilton[M]. Discrete Applied Mathematics, 1999, 95: 61-- 72..
  • 5[美]邦迪JA 默蒂USR著.图论及其应用[M].北京:科学出版社,1984.180--202.
  • 6[美]邦迪JA 默蒂USR著.图论及其应用[M].北京:科学出版社,1984.180-202.
  • 7邵燕灵.迹为d的对称本原矩阵的指数集[J].华北工学院学报,2003,24(2):79-82. 被引量:2

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