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Enumeration of perfect matchings in a type of graphs with reflective symmetry
Zhang, FJ ; Yan, WG ; Zhang FJ(张福基)
2003-02
英文摘要Let G be a bipartite graph without 4k-cycles. It is well known ([1,2]) that M(G)=root\detA(G)\, where A(G) is the adjacency matrix of G and M(G) is the number of perfect matchings of G. In this paper we show that: if G is invariant under the reflection across some plane (or straight line) then M(G)=\det A (G(+))\ under some conditions, where G(+) is a graph with half of the number of vertices of G.
语种英语
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/66356]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Zhang, FJ,Yan, WG,Zhang FJ. Enumeration of perfect matchings in a type of graphs with reflective symmetry[J],2003.
APA Zhang, FJ,Yan, WG,&张福基.(2003).Enumeration of perfect matchings in a type of graphs with reflective symmetry..
MLA Zhang, FJ,et al."Enumeration of perfect matchings in a type of graphs with reflective symmetry".(2003).
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