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DAM
2008
103views more  DAM 2008»
13 years 4 months ago
Crown reductions for the Minimum Weighted Vertex Cover problem
The paper studies crown reductions for the Minimum Weighted Vertex Cover problem introduced recently in the unweighted case by Fellows et al. [Blow-Ups, Win/Win's and crown r...
Miroslav Chlebík, Janka Chlebíkov&aa...
MST
2007
154views more  MST 2007»
13 years 4 months ago
Crown Structures for Vertex Cover Kernelization
Crown structures in a graph are defined and shown to be useful in kernelization algorithms for the classic vertex cover problem. Two vertex cover kernelization methods are discus...
Faisal N. Abu-Khzam, Michael R. Fellows, Michael A...
COCOON
2004
Springer
13 years 10 months ago
An Approximation Algorithm for Weighted Weak Vertex Cover Problem in Undirected Graphs
The problem of efficiently monitoring the network flow is regarded as the one to find out the minimum weighted weak vertex cover set for a given graph G = (V, E) with weight func...
Yong Zhang, Hong Zhu
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
WDAG
2009
Springer
195views Algorithms» more  WDAG 2009»
13 years 11 months ago
A Local 2-Approximation Algorithm for the Vertex Cover Problem
We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (∆ + 1)2 synchronous communication rounds,...
Matti Åstrand, Patrik Floréen, Valent...