A graph is said to be K1,4-free if it does not contain an induced subgraph isomorphic to K1,4. Let k be an integer with k ≥ 2. We prove that if G is a K1,4-free graph of order at least 11k-10 with minimum degree at least four, then G contains k vertex-disjoint copies of K1 + (K1 ∪ K2).
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Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
Duan, Fang
Zhang, Weijuan
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Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
Zhang, Weijuan
Wang, Guoping
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Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R ChinaXinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
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Faculty of Mathematics and Statistics, Central China Normal University
College of Mathematics and Computer Science, Wuhan Textile UniversityFaculty of Mathematics and Statistics, Central China Normal University
CHEN Yuan
CHEN GuanTao
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Department of Mathematics and Statistics, Georgia State UniversityFaculty of Mathematics and Statistics, Central China Normal University
CHEN GuanTao
HU ZhiQuan
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Faculty of Mathematics and Statistics, Central China Normal UniversityFaculty of Mathematics and Statistics, Central China Normal University