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COCOON
2005
Springer
13 years 9 months ago
Power Domination Problem in Graphs
To monitor an electric power system by placing as few phase measurement units (PMUs) as possible is closely related to the famous vertex cover problem and domination problem in gr...
Chung-Shou Liao, Der-Tsai Lee
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
13 years 10 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre
PODC
2005
ACM
13 years 10 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...
WG
2007
Springer
13 years 10 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 10 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 10 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
KI
2007
Springer
13 years 10 months ago
A Stochastic Local Search Approach to Vertex Cover
We introduce a novel stochastic local search algorithm for the vertex cover problem. Compared to current exhaustive search techniques, our algorithm achieves excellent performance ...
Silvia Richter, Malte Helmert, Charles Gretton
CEC
2007
IEEE
13 years 10 months ago
On improving approximate solutions by evolutionary algorithms
Abstract—Hybrid methods are very popular for solving problems from combinatorial optimization. In contrast to this the theoretical understanding of the interplay of different opt...
Tobias Friedrich, Jun He, Nils Hebbinghaus, Frank ...
CEC
2008
IEEE
13 years 10 months ago
Analysis of population-based evolutionary algorithms for the vertex cover problem
— Recently it has been proved that the (1+1)-EA produces poor worst-case approximations for the vertex cover problem. In this paper the result is extended to the (1+λ)-EA by pro...
Pietro Simone Oliveto, Jun He, Xin Yao
GECCO
2009
Springer
167views Optimization» more  GECCO 2009»
13 years 11 months ago
Fixed-parameter evolutionary algorithms and the vertex cover problem
In this paper, we consider multi-objective evolutionary algorithms for the Vertex Cover problem in the context of parameterized complexity. We relate the runtime of our algorithms...
Stefan Kratsch, Frank Neumann