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» Solving MAX-r-SAT Above a Tight Lower Bound
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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
SODA
2010
ACM
185views Algorithms» more  SODA 2010»
13 years 2 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...
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...
FOCS
2008
IEEE
13 years 11 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
COCO
2004
Springer
119views Algorithms» more  COCO 2004»
13 years 8 months ago
Tight Lower Bounds for Certain Parameterized NP-Hard Problems
Based on the framework of parameterized complexity theory, we derive tight lower bounds on the computational complexity for a number of well-known NP-hard problems. We start by pr...
Jianer Chen, Benny Chor, Mike Fellows, Xiuzhen Hua...