Graphs Isomorphic to Their Maximum Matching Graphs

被引:0
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作者
Yan LIUSchool of Mathematics
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关键词
isomorphic; maximum matching graph; bipartite graph; factor-critical graph;
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中图分类号
O157.5 [图论];
学科分类号
摘要
The maximum matching graph ?(G) of a graph G is a simple graph whose vertices arethe maximum matchings of G and where two maximum matchings are adjacent in ?(G) if they differby exactly one edge.In this paper,we prove that if a graph is isomorphic to its maximum matchinggraph,then every block of the graph is an odd cycle.
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页码:1507 / 1516
页数:10
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