Hamilton cycles in random lifts of graphs

被引：1
|
作者：
Luczak, Tomasz [1 ]
Witkowski, Lukasz [1 ]
Witkowski, Marcin [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2015年 / 49卷
关键词：
D O I：
10.1016/j.ejc.2015.03.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a graph G the random n-lift of G is obtained by replacing each of its vertices by a set of n vertices, and joining a pair of sets by a random matching whenever the corresponding vertices of G are adjacent. We show that asymptotically almost surely the random lift of a graph G is Hamiltonian, provided G has the minimum degree at least 5 and contains two disjoint Hamiltonian cycles whose union is not a bipartite graph. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：105 / 116
页数：12
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