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J4 ›› 2013, Vol. 48 ›› Issue (2): 49-52.

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L*n,p图的全匹配数

邹锦玉,任海珍   

  1. 青海师范大学数学系, 青海 西宁 810008
  • 收稿日期:2011-11-08 出版日期:2013-02-20 发布日期:2013-03-04
  • 作者简介:邹锦玉(1984- ),女,硕士研究生,主要研究方向为代数图论. Email:zoujinyu84@163.com
  • 基金资助:

    国家自然科学基金资助项目(11061027, 11161037); 青海省自然科学基金资助项目(2011Z907)

The total number of matchings of L*n,p

ZOU Jin-yu, REN Hai-zhen   

  1. Department of Mathematics, Qinghai Normal University, Xining 810008, Qinghai, China
  • Received:2011-11-08 Online:2013-02-20 Published:2013-03-04

摘要:

设Kp是p阶完全图。 取Kp的任意r个顶点分别点粘接r颗树,所得到的n阶图集记为L*n,p。 确定了L*n,p中具有最大和最小,第二大和第三大全匹配数的图。

关键词: 全匹配数; 图变换; 极值图

Abstract:

Let Kp be a complete graph of order p. Let L*n,p be the graph with n vertices obtained by identifying the vertex ui of Kp with the vertex vi of the tree Ti, where i=1,2,…,r,1≤r≤p. The graphs of L*n,p with maximal and minimal, with secondlargest and thirdlargest total number of matchings are obtained respectively.

Key words: The total number of matchings; graph transformation; extremal graph

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