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» Approximating the minimum hub cover problem on planar graphs
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ESA
2003
Springer
124views Algorithms» more  ESA 2003»
15 years 2 months ago
The Minimum Generalized Vertex Cover Problem
Let G = (V, E) be an undirected graph, with three numbers d0(e) ≥ d1(e) ≥ d2(e) ≥ 0 for each edge e ∈ E. A solution is a subset U ⊆ V and di(e) represents the cost contr...
Refael Hassin, Asaf Levin
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
15 years 2 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
15 years 1 months ago
Approximating node connectivity problems via set covers
Given a graph (directed or undirected) with costs on the edges, and an integer k, we consider the problem of nding a k-node connected spanning subgraph of minimum cost. For the ge...
Guy Kortsarz, Zeev Nutov
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
15 years 10 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra
TCS
2008
14 years 9 months ago
Approximation algorithms for partially covering with edges
The edge dominating set (EDS) and edge cover (EC) problems are classical graph covering problems in which one seeks a minimum cost collection of edges which covers the edges or ve...
Ojas Parekh