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CCCG
2009
13 years 6 months ago
Inapproximability of the Perimeter Defense Problem
We model the problem of detecting intruders using a set of infrared beams by the perimeter defense problem: given a polygon P, find a minimum set of edges S of the polygon such th...
Evangelos Kranakis, Danny Krizanc, Lata Narayanan,...
MFCS
2010
Springer
13 years 3 months ago
Parameterized Complexity and Kernelizability of Max Ones and Exact Ones Problems
For a finite set Γ of Boolean relations, Max Ones SAT(Γ) and Exact Ones SAT(Γ) are generalized satisfiability problems where every constraint relation is from Γ, and the task...
Stefan Kratsch, Dániel Marx, Magnus Wahlstr...
MP
2006
142views more  MP 2006»
13 years 5 months ago
Exploring the Relationship Between Max-Cut and Stable Set Relaxations
The max-cut and stable set problems are two fundamental NP-hard problems in combinatorial optimization. It has been known for a long time that any instance of the stable set probl...
Monia Giandomenico, Adam N. Letchford
CORR
2007
Springer
217views Education» more  CORR 2007»
13 years 5 months ago
Hard constraint satisfaction problems have hard gaps at location 1
An instance of the maximum constraint satisfaction problem (Max CSP) is a nite collection of constraints on a set of variables, and the goal is to assign values to the variables ...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
FSTTCS
2000
Springer
13 years 9 months ago
Coordinatized Kernels and Catalytic Reductions: An Improved FPT Algorithm for Max Leaf Spanning Tree and Other Problems
Abstract. We describe some new, simple and apparently general methods for designing FPT algorithms, and illustrate how these can be used to obtain a signi cantly improved FPT algor...
Michael R. Fellows, Catherine McCartin, Frances A....