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MST
2011
191views Hardware» more  MST 2011»
12 years 11 months ago
Vertex Cover Problem Parameterized Above and Below Tight Bounds
Abstract. We study the well-known Vertex Cover problem parameterized above and below tight bounds. We show that two of the parameterizations (both were suggested by Mahajan, Raman ...
Gregory Gutin, Eun Jung Kim, Michael Lampis, Valia...
IWPEC
2009
Springer
13 years 11 months ago
A Probabilistic Approach to Problems Parameterized above or below Tight Bounds
We introduce a new approach for establishing fixed-parameter tractability of problems parameterized above tight lower bounds or below tight upper bounds. To illustrate the approac...
Gregory Gutin, Eun Jung Kim, Stefan Szeider, Ander...
APPROX
2008
Springer
173views Algorithms» more  APPROX 2008»
13 years 6 months ago
Connected Vertex Covers in Dense Graphs
We consider the variant of the minimum vertex cover problem in which we require that the cover induces a connected subgraph. We give new approximation results for this problem in d...
Jean Cardinal, Eythan Levy
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 8 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
TAMC
2007
Springer
13 years 10 months ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley