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FSTTCS
2005
Springer

The Set Cover with Pairs Problem

13 years 9 months ago
The Set Cover with Pairs Problem
Abstract. We consider a generalization of the set cover problem, in which elements are covered by pairs of objects, and we are required to find a minimum cost subset of objects that induces a collection of pairs covering all elements. Formally, let U be a ground set of elements and let S be a set of objects, where each object i has a non-negative cost wi. For every {i, j} ⊆ S, let C(i, j) be the collection of elements in U covered by the pair {i, j}. The set cover with pairs problem asks to find a subset A ⊆ S such that S {i,j}⊆A C(i, j) = U and such that P i∈A wi is minimized. In addition to studying this general problem, we are also concerned with developing polynomial time approximation algorithms for interesting special cases. The problems we consider in this framework arise in the context of domination in metric spaces and separation of point sets.
Refael Hassin, Danny Segev
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where FSTTCS
Authors Refael Hassin, Danny Segev
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