PERFECT PATH DOUBLE COVERS IN EVERY SIMPLE GRAPH

被引:17
作者
LI, H [1 ]
机构
[1] CHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA
关键词
D O I
10.1002/jgt.3190140604
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove in this paper that every simple graph G admits a perfect path double cover (PPDC), i.e., a set of paths of G such that each edge of G belongs to exactly two of the paths and each vertex of G is an end of exactly two of the paths, where a path of length zero is considered to have (identical) ends. This was conjectured by A. Bondy in 1988. Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company
引用
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页码:645 / 650
页数:6
相关论文
共 4 条
[1]  
Bondy J. A., COMMUNICATION
[2]  
BONDY JA, 1976, GRAPH THEORY APPLICA
[3]  
Lovsz L., 1968, THEORY GRAPHS, P231
[4]  
SEYFFARTH K, COMMUNICATION