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几乎局部连通[4,2]-图的圈可扩性
引用本文:左成龙,王江鲁.几乎局部连通[4,2]-图的圈可扩性[J].山东科学,2011,24(1):65-67.
作者姓名:左成龙  王江鲁
作者单位:山东师范大学数学科学学院,山东 济南 250014
摘    要:如果图G的任意s个顶点的导出子图中至少含有t条边,则称图G为[s,t]-图。本文证明:连通、几乎局部连通[4,2]-图中任意一个满足5≤|C|≤|G|的圈是可扩的。

关 键 词:[s  t]-图  几乎局部连通图  完全圈可扩  

Cycle extensibility of a almost locally connected E4,21-graph
ZUO Cheng-Long,WANG Jiang-Lu.Cycle extensibility of a almost locally connected E4,21-graph[J].Shandong Science,2011,24(1):65-67.
Authors:ZUO Cheng-Long  WANG Jiang-Lu
Affiliation:School of Mathematics, Shandong Normal University, Jinan 250014, China
Abstract:A graph G is a s, t]-graph if there are at least t edges in its every included subgraph of s vertices. This paper proves that any cycle C satisfying 5 ≤ | C |≤| G| is extendable in a almost locally connected 4,2 ] graph.
Keywords:[s  t]- graph  almost locally connected graph  full cycle extendable
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