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DISOPT
2006
90views more  DISOPT 2006»
13 years 11 months ago
Tree decompositions of graphs: Saving memory in dynamic programming
We propose an effective heuristic to save memory in dynamic programming on tree decompositions when solving graph optimization problems. The introduced "anchor technique"...
Nadja Betzler, Rolf Niedermeier, Johannes Uhlmann
C3S2E
2010
ACM
14 years 16 days ago
Scalable formula decomposition for propositional satisfiability
Propositional satisfiability solving, or SAT, is an important reasoning task arising in numerous applications, such as circuit design, formal verification, planning, scheduling or...
Anthony Monnet, Roger Villemaire
GD
2006
Springer
14 years 3 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
EVOW
2010
Springer
14 years 3 months ago
Ant Colony Optimization for Tree Decompositions
Instances of constraint satisfaction problems can be solved efficiently if they are representable as a tree decomposition of small width. Unfortunately, the task of finding a deco...
Thomas Hammerl, Nysret Musliu
WG
1998
Springer
14 years 3 months ago
Linear Time Solvable Optimization Problems on Graphs of Bounded Clique Width
Hierarchical decompositions of graphs are interesting for algorithmic purposes. There are several types of hierarchical decompositions. Tree decompositions are the best known ones....
Bruno Courcelle, Johann A. Makowsky, Udi Rotics
ESA
2009
Springer
112views Algorithms» more  ESA 2009»
14 years 6 months ago
Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution
Abstract. In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives al...
Johan M. M. van Rooij, Hans L. Bodlaender, Peter R...
ESA
2009
Springer
106views Algorithms» more  ESA 2009»
14 years 6 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