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Spanning 5-Ended Trees in K1,5-Free Graphs

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成果类型:
期刊论文
作者:
Hu, Zhiquan;Sun, Pei*
通讯作者:
Sun, Pei
作者机构:
[Hu, Zhiquan; Sun, Pei] Cent China Normal Univ, Fac Math & Stat, Wuhan, Hubei, Peoples R China.
通讯机构:
[Sun, Pei] C
Cent China Normal Univ, Fac Math & Stat, Wuhan, Hubei, Peoples R China.
语种:
英文
关键词:
Spanning tree;\(K_{1, 5}\)-free graph;m-Ended tree
期刊:
Bulletin of the Malaysian Mathematical Sciences Society
ISSN:
0126-6705
年:
2020
卷:
43
期:
3
页码:
2565-2586
基金类别:
National Natural Science Foundation of China#&#&#11771172 National Natural Science Foundation of China#&#&#11871239
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
A graph G is called K1 , 5-free if G contains no K1 , 5 as an induced subgraph. A tree with at most m leaves is called an m-ended tree. Let σk(G) denote the minimum degree sum of k independent vertices in G. In this paper, it is shown that every connected K1 , 5-free graph G contains a spanning 5-ended tree if σ6(G) ≥ | G| - 1. © 2019, Malaysian Mathematical Science...

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