Shandong Science ›› 2011, Vol. 24 ›› Issue (6): 5-7.doi: 10.3976/j.issn.1002-4026.2011.06.002

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Hamilton path of a  k-connected strong-[k+4,2] graph

 LIU Yan, WANG Jiang-Lu   

  1. School of Mathematics, Shandong Normal University, Jinan 250014, China
  • Received:2011-05-04 Published:2011-12-20 Online:2011-12-20

Abstract:

A graph  G is a strong -[s,t] graph if there are at least t independent edges in every included subgraph of s vertices. This paper proves that if  G  is a  k-connected strong -[k+4,2] graph with  δ≥k+1, then G has a Hamilton path or is isomorphic to (∪k+2i=1Hi)∨Gk,where Hi≌K2,i=1,2…k+2,and Gk is an arbitrary graph of k vertices.

Key words: strong -[s,t] graph, Hamilton path, k-connected graphs

CLC Number: 

  • O157.5

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