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THE EXISTENCE OF PATH-FACTOR COVERED GRAPHS

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成果类型:
期刊论文
作者:
Dai, Guowei
通讯作者:
Dai, G.
作者机构:
[Dai, Guowei] Faculty of Mathematics and Statistics Central China Normal University, Luoyu Road 152, Hubei, Wuhan, 430079, China
通讯机构:
[Dai, G.] F
Faculty of Mathematics and Statistics Central China Normal University, Luoyu Road 152, Hubei, China
语种:
英文
关键词:
claw-free graph;isolated toughness;P≥2-factor covered graph;P≥3-factor covered graph;path-factor
期刊:
DISCUSSIONES MATHEMATICAE GRAPH THEORY
ISSN:
1234-3099
年:
2023
卷:
43
期:
1
页码:
5-16
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 spanning subgraph H of a graph G is called a P≥k-factor of G if every component of H is isomorphic to a path of order at least k, where k ≥ 2. A graph G is called a P≥k-factor covered graph if there is a P≥k-factor of G covering e for any e ∈ E(G). In this paper, we obtain two special classes of P≥2-factor covered graphs. We also obtain two special classes of P≥3-factor covered graphs. Furthermore, it is shown that these results...

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