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图2-2nP5和2-nK1,1,1,3完美匹配的计数
引用本文:唐保祥,任韩.图2-2nP5和2-nK1,1,1,3完美匹配的计数[J].吉林大学学报(理学版),2020,58(4):859-863.
作者姓名:唐保祥  任韩
作者单位:1. 天水师范学院 数学与统计学院, 甘肃 天水 741001; 2. 华东师范大学 数学系, 上海 200062
摘    要:把图2-2nP5和2-nK1,1,1,3的完美匹配按匹配一个固定顶点的边进行分类, 先求出每类完美匹配数目的递推关系式, 得到一组有相互联系的递推关系式, 再利用这组递推式之间的相互关系, 给出这两个图完美匹配数的计数公式.

关 键 词:完美匹配    分类    递推式关系    计数公式  
收稿时间:2019-12-09

Perfect Matching Counts for 2-2nP5 and 2-nK1,1,1,3Graphs
TANG Baoxiang,REN Han.Perfect Matching Counts for 2-2nP5 and 2-nK1,1,1,3Graphs[J].Journal of Jilin University: Sci Ed,2020,58(4):859-863.
Authors:TANG Baoxiang  REN Han
Institution:1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, Gansu Province, China;
2. Department of Mathematics, East China Normal University, Shanghai 200062, China
Abstract:The perfect matchings of  2-2nP5 and 2-nK1,1,1,3 graphs were classified according to the edges that matched a fixed vertex. First, we found out  the recurrence relations of each kind of  perfect matching number, and obtained a set of recurrence relations  which were related to each other. Then we used the  correlation between these recurrence relations to give the  counting formula of the perfect matching mumber  of these two graphs.
Keywords:perfect matching  classification  recurrence relation  counting formula  
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