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» The Complexity of Planar Counting Problems
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STACS
2010
Springer
14 years 2 months ago
The Complexity of Approximating Bounded-Degree Boolean #CSP
The degree of a CSP instance is the maximum number of times that a variable may appear in the scope of constraints. We consider the approximate counting problem for Boolean CSPs wi...
Martin E. Dyer, Leslie Ann Goldberg, Markus Jalsen...
COCO
2004
Springer
133views Algorithms» more  COCO 2004»
14 years 1 months ago
Parameterized Complexity of Constraint Satisfaction Problems
We prove a parameterized analog of Schaefer’s Dichotomy Theorem: we show that for every finite boolean constraint family F, deciding whether a formula containing constraints fr...
Dániel Marx
COCO
1998
Springer
123views Algorithms» more  COCO 1998»
13 years 12 months ago
Isolation, Matching, and Counting
We show that the perfect matching problem is in the complexity class SPL in the nonuniform setting. This provides a better upper bound on the complexity of the matching problem, a...
Eric Allender, Klaus Reinhardt
SAT
2004
Springer
101views Hardware» more  SAT 2004»
14 years 1 months ago
An Algebraic Approach to the Complexity of Generalized Conjunctive Queries
Kolaitis and Vardi pointed out that constraint satisfaction and conjunctive query containment are essentially the same problem. We study the Boolean conjunctive queries under a mor...
Michael Bauland, Philippe Chapdelaine, Nadia Creig...
COMPGEOM
2007
ACM
13 years 11 months ago
On approximate halfspace range counting and relative epsilon-approximations
The paper consists of two major parts. In the first part, we re-examine relative -approximations, previously studied in [12, 13, 18, 25], and their relation to certain geometric p...
Boris Aronov, Sariel Har-Peled, Micha Sharir