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DM
2007
78views more  DM 2007»
15 years 12 days ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai
84
Voted
MST
2007
154views more  MST 2007»
14 years 12 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...
DAM
2008
103views more  DAM 2008»
15 years 15 days 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...
ACTA
2007
92views more  ACTA 2007»
15 years 17 days ago
Solving #SAT using vertex covers
Abstract We propose an exact algorithm for counting the models of propositional formulas in conjunctive normal form (CNF). Our algorithm is based on the detection of strong backdoo...
Naomi Nishimura, Prabhakar Ragde, Stefan Szeider
87
Voted
TIT
2008
122views more  TIT 2008»
15 years 10 days ago
Identifying Codes and Covering Problems
The identifying code problem for a given graph involves finding a minimum set of vertices whose neighborhoods uniquely overlap at any given graph vertex. Initially introduced in 1...
Moshe Laifenfeld, Ari Trachtenberg