数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 333-337.

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树的线图的P3-因子

  

  1. 1. College of Mathematics and System Sciences, Xinjiang University2. College of Information and Engineering, Urumqi Vocational University

  • 收稿日期:2007-11-06 出版日期:2009-09-30 发布日期:2023-06-26
  • 作者简介:LI Xiao-juan(1969- ), female, native of Dengzhou, Henan, an associate professor of Urumqi Vocational University, M.S.D., engages in graph theory; ZHANG Zhao(1974- ), female, native of Chengdu, Sichuan, a professor of Xinjiang University, Ph.D., engages in graph theory.
  • 基金资助:
     Supported by the NSFC(60603003);

P3-factor in Line Graphs of Trees 

  1. 1. College of Mathematics and System Sciences, Xinjiang University2. College of Information and Engineering, Urumqi Vocational University
  • Received:2007-11-06 Online:2009-09-30 Published:2023-06-26
  • About author:LI Xiao-juan(1969- ), female, native of Dengzhou, Henan, an associate professor of Urumqi Vocational University, M.S.D., engages in graph theory; ZHANG Zhao(1974- ), female, native of Chengdu, Sichuan, a professor of Xinjiang University, Ph.D., engages in graph theory.
  • Supported by:
     Supported by the NSFC(60603003);

摘要: In this paper, we give a necessary and sufficient condition for the existence of P3-factors in the line graph of a tree. Then we present an algorithm to determine whether the line graph of a tree has a P3-factor.

关键词: path factor, line graph, tree

Abstract: In this paper, we give a necessary and sufficient condition for the existence of P3-factors in the line graph of a tree. Then we present an algorithm to determine whether the line graph of a tree has a P3-factor.

Key words: path factor, line graph, tree

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