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典型文献
The Distance Matching Extension in K1,k-free Graphs with High Local Connectedness
文献摘要:
A matching is extendable in a graph G if G has a perfect matching containing it.A distance q matching is a matching such that the distance between any two distinct matching edges is at least q.In this paper,we prove that any distance 2k-3 matching is extendable in a connected and locally(k-1)-connected K1,k-free graph of even order.Furthermore,we also prove that any distance q matching M in an r-connected and locally(k-1)-connected K1,k-free graph of even order is extendable provided that |M| is bounded by a function on r,k and q.Our results improve some results in[J.Graph Theory 93(2020),5-20].
文献关键词:
作者姓名:
Wei-chan LIU;Gui-ying YAN
作者机构:
Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;University of Chinese Academy of Sciences,Beijing 100049,China
引用格式:
[1]Wei-chan LIU;Gui-ying YAN-.The Distance Matching Extension in K1,k-free Graphs with High Local Connectedness)[J].应用数学学报(英文版),2022(01):37-43
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AB值:
0.487199
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