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» The Instance Complexity Conjecture
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ESA
2004
Springer
96views Algorithms» more  ESA 2004»
14 years 1 months ago
An Experimental Study of Random Knapsack Problems
The size of the Pareto curve for the bicriteria version of the knapsack problem is polynomial on average. This has been shown for various random input distributions. We experimenta...
René Beier, Berthold Vöcking
CSR
2007
Springer
14 years 1 months ago
Ruling Out Polynomial-Time Approximation Schemes for Hard Constraint Satisfaction Problems
The maximum constraint satisfaction problem (Max CSP) is the following computational problem: an instance is a finite collection of constraints on a set of variables, and the goal...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 7 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
IJMMS
2000
76views more  IJMMS 2000»
13 years 7 months ago
On the notion of interestingness in automated mathematical discovery
We survey five mathematical discovery programs by looking in detail at the discovery processes they illustrate and the success they've had. We focus on how they estimate the ...
Simon Colton, Alan Bundy, Toby Walsh
FSTTCS
2010
Springer
13 years 5 months ago
Satisfiability of Acyclic and Almost Acyclic CNF Formulas
We study the propositional satisfiability problem (SAT) on classes of CNF formulas (formulas in Conjunctive Normal Form) that obey certain structural restrictions in terms of thei...
Sebastian Ordyniak, Daniël Paulusma, Stefan S...