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CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 4 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
IWPEC
2009
Springer
14 years 2 months ago
Paths of Bounded Length and Their Cuts: Parameterized Complexity and Algorithms
We study the parameterized complexity of two families of problems: the bounded length disjoint paths problem and the bounded length cut problem. From Menger’s theorem both proble...
Petr A. Golovach, Dimitrios M. Thilikos
CC
2010
Springer
112views System Software» more  CC 2010»
13 years 2 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
ATVA
2007
Springer
108views Hardware» more  ATVA 2007»
14 years 2 months ago
A New Approach to Bounded Model Checking for Branching Time Logics
Abstract. Bounded model checking (BMC) is a technique for overcoming the state explosion problem which has gained wide industrial acceptance. Bounded model checking is typically ap...
Rotem Oshman, Orna Grumberg
JCT
2010
114views more  JCT 2010»
13 years 6 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl