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ICALP
2010
Springer
13 years 8 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
13 years 8 months ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld
FOCS
2002
IEEE
13 years 8 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
WEA
2005
Springer
117views Algorithms» more  WEA 2005»
13 years 9 months ago
Vertex Cover Approximations: Experiments and Observations
The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, e...
Eyjolfur Asgeirsson, Clifford Stein
WADS
2005
Springer
122views Algorithms» more  WADS 2005»
13 years 9 months ago
Parameterized Complexity of Generalized Vertex Cover Problems
Important generalizations of the Vertex Cover problem (Connected Vertex Cover, Capacitated Vertex Cover, and Maximum Partial Vertex Cover) have been intensively studied in terms of...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke
PODC
2005
ACM
13 years 9 months ago
Primal-dual based distributed algorithms for vertex cover with semi-hard capacities
In this paper we consider the weighted, capacitated vertex cover problem with hard capacities (capVC). Here, we are given an undirected graph G = (V, E), non-negative vertex weigh...
Fabrizio Grandoni, Jochen Könemann, Alessandr...
ACSC
2005
IEEE
13 years 9 months ago
A Two-Pronged Attack on the Dragon of Intractability
One approach to tractably finding a solution to an NP-complete optimisation problem is heuristic, where the solution is inexact but quickly found; another approach is to reduce t...
Stephen Gilmour, Mark Dras
WG
2007
Springer
13 years 9 months ago
Complexity and Approximation Results for the Connected Vertex Cover Problem
We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
Bruno Escoffier, Laurent Gourvès, Jé...
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
13 years 9 months ago
Vertex Cover Approximations on Random Graphs
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
Eyjolfur Asgeirsson, Clifford Stein
TCC
2007
Springer
100views Cryptology» more  TCC 2007»
13 years 9 months ago
Private Approximation of Clustering and Vertex Cover
Private approximation of search problems deals with finding approximate solutions to search problems while disclosing as little information as possible. The focus of this work is ...
Amos Beimel, Renen Hallak, Kobbi Nissim