منابع مشابه
Capacitated vertex covering
In this paper we study the capacitated vertex cover problem, a generalization of the well-known vertex cover problem. Given a graph G = (V ,E) with weights on the vertices, the goal is to cover all the edges by picking a cover of minimum weight from the vertices. When we pick a copy of a vertex, we pay the weight of the vertex and cover up to a pre-specified number of edges incident on this ver...
متن کاملCapacitated Domination and Covering: A Parameterized Perspective
Capacitated versions of Vertex Cover and Dominating Set have been studied intensively in terms of polynomial time approximation algorithms. Although the problems Dominating Set and Vertex Cover have been subjected to considerable scrutiny in the parameterized complexity world, this is not true for their capacitated versions. Here we make an attempt to understand the behavior of the problems Cap...
متن کاملPrimal-Dual Schema for Capacitated Covering Problems
Primal-dual algorithms have played an integral role in recent developments in approximation algorithms, and yet there has been little work on these algorithms in the context of LP relaxations that have been strengthened by the addition of more sophisticated valid inequalities. We introduce primal-dual schema based on the LP relaxations devised by Carr, Fleischer, Leung & Phillips for the minimu...
متن کاملApproximation of Partial Capacitated Vertex Cover
We study the partial capacitated vertex cover problem (pcvc) in which the input consists of a graphG and a covering requirement L. Each edge e in G is associated with a demand (or load) l(e), and each vertex v is associated with a (soft) capacity c(v) and a weight w(v). A feasible solution is an assignment of edges to vertices such that the total demand of assigned edges is at least L. The weig...
متن کاملCapacitated k-Center Problem with Vertex Weights
We study the capacitated k-center problem with vertex weights. It is a generalization of the well known k-center problem. In this variant each vertex has a weight and a capacity. The assignment cost of a vertex to a center is given by the product of the weight of the vertex and its distance to the center. The distances are assumed to form a metric. Each center can only serve as many vertices as...
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ژورنال
عنوان ژورنال: Journal of Algorithms
سال: 2003
ISSN: 0196-6774
DOI: 10.1016/s0196-6774(03)00053-1