English

An estimation of the greedy algorithm's accuracy for a set cover problem instance

Data Structures and Algorithms 2019-02-13 v3 Discrete Mathematics

Abstract

Considering the set cover problem, by modifying the approach that gives a logarithmic approximation guarantee for the greedy algorithm, we obtain an estimation of the greedy algorithm's accuracy for a particular input. We compare the presented estimation to another estimations of this type. We give such examples of the set cover problem instances that the presented estimation sagnificantly improves over linear programming relaxation based estimation.

Keywords

Cite

@article{arxiv.1811.04037,
  title  = {An estimation of the greedy algorithm's accuracy for a set cover problem instance},
  author = {Alexander Prolubnikov},
  journal= {arXiv preprint arXiv:1811.04037},
  year   = {2019}
}

Comments

10 pages, 3 tables

R2 v1 2026-06-23T05:10:39.803Z