Distributed and Parallel Algorithms for Set Cover Problems with Small Neighborhood Covers
Data Structures and Algorithms
2013-12-30 v1 Distributed, Parallel, and Cluster Computing
Abstract
In this paper, we study a class of set cover problems that satisfy a special property which we call the {\em small neighborhood cover} property. This class encompasses several well-studied problems including vertex cover, interval cover, bag interval cover and tree cover. We design unified distributed and parallel algorithms that can handle any set cover problem falling under the above framework and yield constant factor approximations. These algorithms run in polylogarithmic communication rounds in the distributed setting and are in NC, in the parallel setting.
Cite
@article{arxiv.1312.7217,
title = {Distributed and Parallel Algorithms for Set Cover Problems with Small Neighborhood Covers},
author = {Archita Agarwal and Venkatesan T. Chakaravarthy and Anamitra R. Choudhury and Sambuddha Roy and Yogish Sabharwal},
journal= {arXiv preprint arXiv:1312.7217},
year = {2013}
}
Comments
Full version of FSTTCS'13 paper