On the complexity of finding a minimum cycle cover of a graph

被引:41
作者
Thomassen, C
机构
[1] Mathematical Institute, Technical University of Denmark
关键词
complexity; minimum cycle cover;
D O I
10.1137/S0097539794267255
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We prove that the problem of finding a cycle cover of smallest total length is NP-hard. This confirms a conjecture of Itai, Lipton, Papadimitriou, and Rodeh from 1981.
引用
收藏
页码:675 / 677
页数:3
相关论文
共 5 条
[1]  
Bondy J. A., 1990, SMALL CYCLE DOUBLE C, P21
[2]   COVERING GRAPHS BY CYCLES [J].
FAN, GH .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 1992, 5 (04) :491-496
[3]   THE NP-COMPLETENESS OF EDGE-COLORING [J].
HOLYER, I .
SIAM JOURNAL ON COMPUTING, 1981, 10 (04) :718-720
[4]   COVERING GRAPHS BY SIMPLE CIRCUITS [J].
ITAI, A ;
LIPTON, RJ ;
PAPADIMITRIOU, CH ;
RODEH, M .
SIAM JOURNAL ON COMPUTING, 1981, 10 (04) :746-750
[5]   SMALLEST (1,2)-EULERIAN WEIGHT AND SHORTEST CYCLE COVERING [J].
ZHAO, C .
JOURNAL OF GRAPH THEORY, 1994, 18 (02) :153-160