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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...
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...
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 3 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
IPL
2010
119views more  IPL 2010»
13 years 3 months ago
Note on Max Lin-2 above Average
In the Max Lin-2 problem we are given a system S of m linear equations in n variables over F2 in which Equation j is assigned a positive integral weight wj for each j. We wish to ...
Robert Crowston, Gregory Gutin, Mark Jones
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