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Circumferences and minimum degrees in 3-connected claw-free graphs
Authors:MingChu Li  Yuan Tian  Xu Yuan
Institution:a School of Software, Dalian University of Technology, Dalian 116620, China
b Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
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.
Keywords:Claw-free graph  Circumference  3-connectedness  Minimum degree
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