Circumferences and minimum degrees in 3-connected claw-free graphs |
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Authors: | MingChu Li Yuan Tian Xu Yuan |
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Institution: | a School of Software, Dalian University of Technology, Dalian 116620, China b Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China |
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Abstract: | In this paper, we prove that every 3-connected claw-free graph G on n vertices contains a cycle of length at least min{n,6δ−15}, thereby generalizing several known results. |
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Keywords: | Claw-free graph Circumference 3-connectedness Minimum degree |
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