5 CYCLE DOUBLE COVERS OF SOME CUBIC GRAPHS

被引:42
作者
HUCK, A [1 ]
KOCHOL, M [1 ]
机构
[1] SLOVAK ACAD SCI,INST INFORMAT,BRATISLAVA 84000,SLOVAKIA
关键词
D O I
10.1006/jctb.1995.1029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main result of this paper can be roughly described as follows. Any bridgeless cubic graph G having a 2-factor with at most two odd components has a 5-cycle double cover, ie., there exists a collection L of five Eulerian subgraphs of G such that every edge of G is an edge of exactly two subgraphs in L. This generalizes and improves several known results. For instance, we can show that any graph with a Hamilton path has a 5-cycle double cover. (C) 1995 Academic Press, Inc.
引用
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页码:119 / 125
页数:7
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