河南科学
河南科學
하남과학
HENAN SCIENCE
2007年
3期
361-363
,共3页
匹配%偶匹配%偶匹配可扩
匹配%偶匹配%偶匹配可擴
필배%우필배%우필배가확
matching%bipartite matching%bipartite matching extendable
设G是含有完美匹配的简单图.称G是偶匹配可扩的,如果G中导出子图是偶图的匹配M都可以扩充为G的完美匹配.研究了在偶匹配可扩图中删去两个顶点后该图的性质.这些性质对于偶匹配可扩图的进一步研究会有帮助.
設G是含有完美匹配的簡單圖.稱G是偶匹配可擴的,如果G中導齣子圖是偶圖的匹配M都可以擴充為G的完美匹配.研究瞭在偶匹配可擴圖中刪去兩箇頂點後該圖的性質.這些性質對于偶匹配可擴圖的進一步研究會有幫助.
설G시함유완미필배적간단도.칭G시우필배가확적,여과G중도출자도시우도적필배M도가이확충위G적완미필배.연구료재우필배가확도중산거량개정점후해도적성질.저사성질대우우필배가확도적진일보연구회유방조.
Let G be a simple graph containing a perfect matching. G is said to be bipartite matching extendable (BM-extendable) if every matching M whose induced subgraph is a bipartite graph extends to a perfect matching of G. In this paper, we present some properties of BM-extendable graphs after deleting two distinct vertices.They will be useful for further study of BM-extendability.