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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
CORR
2007
Springer
85views Education» more  CORR 2007»
13 years 5 months ago
A multivariate interlace polynomial
We define a multivariate polynomial that generalizes in a unified way the twovariable interlace polynomial defined by Arratia, Bollob´as and Sorkin on the one hand, and a one-...
Bruno Courcelle
CAV
2003
Springer
160views Hardware» more  CAV 2003»
13 years 10 months ago
Fast Mu-Calculus Model Checking when Tree-Width Is Bounded
We show that the model checking problem for µ-calculus on graphs of bounded tree-width can be solved in time linear in the size of the system. The result is presented by first sh...
Jan Obdrzálek
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
13 years 11 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
13 years 10 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...