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On the complexity of finding a minimum cycle cover of a graph
被引:41
作者
:
Thomassen, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematical Institute, Technical University of Denmark
Thomassen, C
机构
:
[1]
Mathematical Institute, Technical University of Denmark
来源
:
SIAM JOURNAL ON COMPUTING
|
1997年
/ 26卷
/ 03期
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
论文数:
0
引用数:
0
h-index:
0
FAN, GH
.
SIAM JOURNAL ON DISCRETE MATHEMATICS,
1992,
5
(04)
:491
-496
[3]
THE NP-COMPLETENESS OF EDGE-COLORING
[J].
HOLYER, I
论文数:
0
引用数:
0
h-index:
0
HOLYER, I
.
SIAM JOURNAL ON COMPUTING,
1981,
10
(04)
:718
-720
[4]
COVERING GRAPHS BY SIMPLE CIRCUITS
[J].
ITAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
ITAI, A
;
LIPTON, RJ
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
LIPTON, RJ
;
PAPADIMITRIOU, CH
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
PAPADIMITRIOU, CH
;
RODEH, M
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
RODEH, M
.
SIAM JOURNAL ON COMPUTING,
1981,
10
(04)
:746
-750
[5]
SMALLEST (1,2)-EULERIAN WEIGHT AND SHORTEST CYCLE COVERING
[J].
ZHAO, C
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, West Virginia University, Morgantown, West Virginia
ZHAO, C
.
JOURNAL OF GRAPH THEORY,
1994,
18
(02)
:153
-160
←
1
→
共 5 条
[1]
Bondy J. A., 1990, SMALL CYCLE DOUBLE C, P21
[2]
COVERING GRAPHS BY CYCLES
[J].
FAN, GH
论文数:
0
引用数:
0
h-index:
0
FAN, GH
.
SIAM JOURNAL ON DISCRETE MATHEMATICS,
1992,
5
(04)
:491
-496
[3]
THE NP-COMPLETENESS OF EDGE-COLORING
[J].
HOLYER, I
论文数:
0
引用数:
0
h-index:
0
HOLYER, I
.
SIAM JOURNAL ON COMPUTING,
1981,
10
(04)
:718
-720
[4]
COVERING GRAPHS BY SIMPLE CIRCUITS
[J].
ITAI, A
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
ITAI, A
;
LIPTON, RJ
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
LIPTON, RJ
;
PAPADIMITRIOU, CH
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
PAPADIMITRIOU, CH
;
RODEH, M
论文数:
0
引用数:
0
h-index:
0
机构:
MIT,COMP SCI LAB,CAMBRIDGE,MA 02139
RODEH, M
.
SIAM JOURNAL ON COMPUTING,
1981,
10
(04)
:746
-750
[5]
SMALLEST (1,2)-EULERIAN WEIGHT AND SHORTEST CYCLE COVERING
[J].
ZHAO, C
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, West Virginia University, Morgantown, West Virginia
ZHAO, C
.
JOURNAL OF GRAPH THEORY,
1994,
18
(02)
:153
-160
←
1
→