An approximation algorithm for maximum weight budgeted connected set cover

Yingli Ran, Zhang Zhao, Ker-I Ko, Jun Liang

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

This paper studies approximation algorithm for the maximum weight budgeted connected set cover (MWBCSC) problem. Given an element set , a collection of sets , a weight function on , a cost function on , a connected graph (called communication graph) on vertex set , and a budget , the MWBCSC problem is to select a subcollection such that the cost , the subgraph of induced by is connected, and the total weight of elements covered by (that is ) is maximized. We present a polynomial time algorithm for this problem with a natural communication graph that has performance ratio , where is the maximum degree of graph and is the number of sets in . In particular, if every set has cost at most , the performance ratio can be improved to .
Original languageEnglish
Pages (from-to)1505-1517
Number of pages13
JournalJournal of Combinatorial Optimization
Volume31
Issue number4
DOIs
StatePublished - May 2016

Keywords

  • Budgeted set cover; Connected set cover; Approximation algorithm

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