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» Deciding Clique-Width for Graphs of Bounded Tree-Width
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WADS
2001
Springer
124views Algorithms» more  WADS 2001»
14 years 3 months ago
Deciding Clique-Width for Graphs of Bounded Tree-Width
We show that there exists a linear time algorithm for deciding whether a graph of bounded tree-width has clique-width k for some fixed integer k. Communicated by Giuseppe Liotta ...
Wolfgang Espelage, Frank Gurski, Egon Wanke
CORR
2008
Springer
112views Education» more  CORR 2008»
13 years 11 months ago
Compact Labelings For Efficient First-Order Model-Checking
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for check...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
CAV
2003
Springer
160views Hardware» more  CAV 2003»
14 years 4 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 9 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 10 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