A note on submodular set cover on matroids

被引：5

作者：

Gargano, Luisa ^{[1
]}

Hammar, Mikael ^{[2
]}

机构：

[1] Univ Salerno, Dipartimento Informat & Applicaz, I-84084 Fisciano, SA, Italy

[2] Apptus Technol AB, Res & Dev, S-22370 Lund, Sweden

来源：

DISCRETE MATHEMATICS | 2009年 / 309卷 / 18期

关键词：

Matroid; Independent sets; Set cover; ALGORITHM;

D O I：

10.1016/j.disc.2008.05.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a problem related to the submodular set cover on polymatroids, when the ground set is the family of independent sets of a matroid. The achievement here is getting a strongly polynomial running time with respect to the ground set of the matroid even though the family of independent sets has exponential size. We also address the optimization problem of the maximization of submodular set functions on the independent sets of a matroid. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：5739 / 5744

页数：6

共 50 条

[1] A note on the submodular vertex cover problem with submodular penalties
Kamiyama, Naoyuki
[J]. THEORETICAL COMPUTER SCIENCE, 2017, 659 : 95 - 97
[2] Smooth Interactive Submodular Set Cover
He, Bryan
Yue, Yisong
[J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 28 (NIPS 2015), 2015, 28
[3] On approximation of the submodular set cover problem
Fujito, T
[J]. OPERATIONS RESEARCH LETTERS, 1999, 25 (04) : 169 - 174
[4] Parallelizing Greedy for Submodular Set Function Maximization in Matroids and Beyond
Chekuri, Chandra
Quanrud, Kent
[J]. PROCEEDINGS OF THE 51ST ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING (STOC '19), 2019, : 78 - 89
[5] Approximation algorithms for submodular set cover with applications
Fujito, T
[J]. IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2000, E83D (03): : 480 - 487
[6] Approximation algorithms for submodular set cover with applications
Fujito, Toshihiro
[J]. IEICE Transactions on Information and Systems, 2000, E83-D (03) : 480 - 487
[7] The Minimum Entropy Submodular Set Cover Problem
Istrate, Gabriel
Bonchis, Cosmin
Dinu, Liviu P.
[J]. LANGUAGE AND AUTOMATA THEORY AND APPLICATIONS, LATA 2016, 2016, 9618 : 295 - 306
[8] Submodular Stochastic Probing on Matroids
Adamczyk, Marek
Sviridenko, Maxim
Ward, Justin
[J]. 31ST INTERNATIONAL SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2014), 2014, 25 : 29 - 40
[9] Submodular Stochastic Probing on Matroids
Adamczyk, Marek
Sviridenko, Maxim
Ward, Justin
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 2016, 41 (03) : 1022 - 1038
[10] Degree bounded matroids and submodular flows
Kiraly, Tamas
Lau, Lap Chi
Singh, Mohit
[J]. COMBINATORICA, 2012, 32 (06) : 703 - 720

← 1 2 3 4 5 →