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Note on the longest paths in {K 1,4, K 1,4 + e}-free graphs
Authors:Fang Duan  Guo Ping Wang
Institution:1. School of Mathematical Sciences, Xinjiang Normal University, Urumqi, 830054, P. R. China
Abstract:A graph G is {K 1,4, K 1,4 + e}-free if G contains no induced subgraph isomorphic to K 1,4 or K 1,4 +e. In this paper, we show that G has a path which is either hamiltonian or of length at least 2δ + 2 if G is a connected {K 1,4, K 1,4 + e}-free graph on at least 7 vertices.
Keywords:{K1  4  Kl  4 + e}-free graph  longest path  hamiltonian path
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