A 2 + ɛ approximation algorithm for the k-MST problem

被引:0
作者
Sanjeev Arora
George Karakostas
机构
[1] Princeton University,Department of Computer Science
[2] McMaster University,Department of Computing & Software
来源
Mathematical Programming | 2006年 / 107卷
关键词
-Minimum Spanning Tree; Approximation algorithm; Primal-Dual schema;
D O I
暂无
中图分类号
学科分类号
摘要
For any ɛ > 0 we give a (2 + ɛ)-approximation algorithm for the problem of finding a minimum tree spanning any k vertices in a graph (k-MST), improving a 3-approximation algorithm by Garg [10]. As in [10] the algorithm extends to a (2 + ɛ)-approximation algorithm for the minimum tour that visits any k vertices, provided the edge costs satisfy the triangle inequality.
引用
收藏
页码:491 / 504
页数:13
相关论文
共 50 条
[21]   A Local Search Approximation Algorithm for the k-means Problem with Penalties [J].
Zhang, Dongmei ;
Hao, Chunlin ;
Wu, Chenchen ;
Xu, Dachuan ;
Zhang, Zhenning .
COMPUTING AND COMBINATORICS, COCOON 2017, 2017, 10392 :568-574
[22]   An approximation algorithm for the k-prize-collecting multicut on a tree problem [J].
Hou, Xin ;
Liu, Wen ;
Hou, Bo .
THEORETICAL COMPUTER SCIENCE, 2020, 844 (844) :26-33
[23]   Approximation algorithm for the k- product uncapacitated facility location problem [J].
Yi, Bin ;
Li, Rongheng .
PROCEEDINGS OF 2010 3RD IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY (ICCSIT 2010), VOL 5, 2010, :602-605
[24]   An approximation algorithm for the k-level capacitated facility location problem [J].
Donglei Du ;
Xing Wang ;
Dachuan Xu .
Journal of Combinatorial Optimization, 2010, 20 :361-368
[25]   An approximation algorithm for the k-level stochastic facility location problem [J].
Wang, Zhen ;
Du, Donglei ;
Gabor, Adriana F. ;
Xu, Dachuan .
OPERATIONS RESEARCH LETTERS, 2010, 38 (05) :386-389
[26]   An approximation algorithm for soft capacitated k-facility location problem [J].
Jiang, Yanjun ;
Xu, Dachuan ;
Du, Donglei ;
Wu, Chenchen ;
Zhang, Dongmei .
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2018, 35 (02) :493-511
[27]   An approximation algorithm for the k-level facility location problem with outliers [J].
Lu Han ;
Dachuan Xu ;
Dandan Liu ;
Chenchen Wu .
Optimization Letters, 2021, 15 :2053-2065
[28]   An approximation algorithm for the k-level facility location problem with outliers [J].
Han, Lu ;
Xu, Dachuan ;
Liu, Dandan ;
Wu, Chenchen .
OPTIMIZATION LETTERS, 2021, 15 (06) :2053-2065
[29]   An approximation algorithm for soft capacitated k-facility location problem [J].
Yanjun Jiang ;
Dachuan Xu ;
Donglei Du ;
Chenchen Wu ;
Dongmei Zhang .
Journal of Combinatorial Optimization, 2018, 35 :493-511
[30]   An approximation algorithm for the k-level capacitated facility location problem [J].
Du, Donglei ;
Wang, Xing ;
Xu, Dachuan .
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2010, 20 (04) :361-368