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» Complexity of the Cover Polynomial
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MST
2007
138views more  MST 2007»
13 years 9 months ago
Parameterized Complexity of Vertex Cover Variants
Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum Partial Vertex Cover) have been intensively studied in ...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke
ACTA
2007
92views more  ACTA 2007»
13 years 10 months 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
BIRTHDAY
2009
Springer
14 years 4 months ago
Covering a Tree by a Forest
Consider a tree T and a forest F. The paper discusses the following new problems: The Forest vertex-cover problem (FVC): cover the vertices of T by a minimum number of copies of tr...
Fanica Gavril, Alon Itai
MP
2006
121views more  MP 2006»
13 years 9 months ago
Approximate fixed-rank closures of covering problems
Consider a 0/1 integer program min{cT x : Ax b, x {0, 1}n } where A is nonnegative. We show that if the number of minimal covers of Ax b is polynomially bounded, then there is ...
Daniel Bienstock, Mark Zuckerberg
STOC
2004
ACM
150views Algorithms» more  STOC 2004»
14 years 10 months ago
Typical properties of winners and losers in discrete optimization
We present a probabilistic analysis for a large class of combinatorial optimization problems containing, e.g., all binary optimization problems defined by linear constraints and a...
René Beier, Berthold Vöcking