|Table of Contents|

Classification and Recursive Method for Perfect MatchingNumber of Two Kinds of Special Graphsc(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2021年01期
Page:
1-5
Research Field:
·数学·
Publishing date:

Info

Title:
Classification and Recursive Method for Perfect MatchingNumber of Two Kinds of Special Graphsc
Author(s):
Tang Baoxiang1Ren Han2
(1.School of Mathematics and Statistics Institute,Tianshui Normal University,Tianshui 741001,China)2.Department of Mathematics,East China Normal University,Shanghai 200062,China)
Keywords:
perfect matchingrecurrence formulageneral solution
PACS:
O157.5
DOI:
10.3969/j.issn.1001-4616.2021.01.001
Abstract:
The recursive relation between the perfect matching numbers of graphs 2-nP8 and 2-nZ3 is given by the method of division and summation,and the explicit formula for the perfect matching number of these two graphs is obtained from the recursive relation obtained. This paper gives a method for finding the perfect matching number of some graphs,which provides support for the application of perfect matching theory.

References:

[1] LOVáSZ L,PLUMMER M D. Matching theory[M]. New York:North-Holland Press,1986.
[2]ZHANG H P,ZHANG F J. Perfect matchings of polyomino graphs[J]. Graphs and combinatorics,1997,13:259-304.
[3]LI S L,YAN W G. The matching energy of graphs with given parameters[J]. Discrete applied mathematics,2014,162:415-420.
[4]DONG F M,YAN W G,ZHANG F J. On the number of perfect matchings of line graphs[J]. Discrete applied mathematics,2013,161:794-801.
[5]YAN W G,ZHANG F J. A quadratic identity for the number of perfect matchings of plane graphs[J]. Theoretical computer science,2008,409:405-410.
[6]CHANG A,SHIU W C. On the kth eigenvalues of trees with perfect matchings[J]. Discrete mathematics and theoretical computer science,2007,9(1):321-332.
[7]林泓,林晓霞. 若干四角系统完美匹配数的计算[J]. 福州大学学报(自然科学版),2005,33(6):704-710.
[8]唐保祥,任韩. 3类特殊图完美对集数的计算[J]. 南开大学学报(自然科学版),2014,47(5):11-16.
[9]唐保祥,任韩. 4类图完美匹配的计数[J]. 武汉大学学报(理学版),2012,58(5):441-446.
[10]唐保祥,任韩. 两类图完美匹配的计数公式[J]. 吉林大学学报(理学版),2016,54(4):790-792.
[11]唐保祥,任韩. 2类图完美匹配数目的解析式[J]. 中山大学学报(自然科学版),2016,55(4):15-17.
[12]唐保祥,任韩. 2类特殊图中的完美匹配数[J]. 浙江大学学报(理学版),2017,44(3):266-269.
[13]唐保祥,任韩. 4类图完美匹配数目的递推求法[J]. 数学杂志,2015,353(2):626-634.
[14]唐保祥,任韩. 3类图完美匹配数目的计算公式[J]. 南京师大学报(自然科学版),2016,39(4):1-4.

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Last Update: 2021-03-15