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» General Polynomial Time Decomposition Algorithms
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COLT
2005
Springer
13 years 10 months ago
General Polynomial Time Decomposition Algorithms
We present a general decomposition algorithm that is uniformly applicable to every (suitably normalized) instance of Convex Quadratic Optimization and efficiently approaches an o...
Nikolas List, Hans-Ulrich Simon
ICDT
2010
ACM
137views Database» more  ICDT 2010»
13 years 3 months ago
A Greedy Algorithm for Constructing a Low-Width Generalized Hypertree Decomposition
We propose a greedy algorithm which, given a hypergraph H and a positive integer k, produces a hypertree decomposition of width less than or equal to 3k −1, or determines that H...
Kaoru Katayama, Tatsuro Okawara, Yuka Itou
MKM
2009
Springer
13 years 11 months ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt
ESA
2009
Springer
106views Algorithms» more  ESA 2009»
13 years 11 months ago
Fast Evaluation of Interlace Polynomials on Graphs of Bounded Treewidth
Abstract. We consider the multivariate interlace polynomial introduced by Courcelle (2008), which generalizes several interlace polynomials defined by Arratia, Bollob´as, and Sor...
Markus Bläser, Christian Hoffmann
PODS
2007
ACM
159views Database» more  PODS 2007»
14 years 4 months ago
Generalized hypertree decompositions: np-hardness and tractable variants
The generalized hypertree width GHW(H) of a hypergraph H is a measure of its cyclicity. Classes of conjunctive queries or constraint satisfaction problems whose associated hypergr...
Georg Gottlob, Thomas Schwentick, Zoltán Mi...