Number of Induced Matchings of Graphs

被引:0
|
作者
Yan CHEN [1 ]
Yan LIU [1 ]
机构
[1] School of Mathematical Sciences, South China Normal University
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中图分类号
O157.5 [图论];
学科分类号
070104 ;
摘要
A matching M of a graph G is an induced matching if no two edges in M arejoined by an edge of G.Let iz(G) denote the total number of induced matchings of G,named iz-index.It is well known that the Hosoya index of a graph is the total number of matchings and the Hosoya index of a path can be calculated by the Fibonacci sequence.In this paper,we investigate the iz-index of graphs by using the Fibonacci-Narayana sequence and characterize some types of graphs with minimum and maximum iz-index,respectively.
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页码:35 / 47
页数:13
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