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» Bounded Tree-Width and CSP-Related Problems
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SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
13 years 9 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki
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
ECCC
2010
92views more  ECCC 2010»
13 years 3 months ago
Logspace Versions of the Theorems of Bodlaender and Courcelle
Bodlaender’s Theorem states that for every k there is a linear-time algorithm that decides whether an input graph has tree width k and, if so, computes a width-k tree compositio...
Michael Elberfeld, Andreas Jakoby, Till Tantau
ECCC
2007
109views more  ECCC 2007»
13 years 5 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
SIAMJO
2008
144views more  SIAMJO 2008»
13 years 5 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...