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126
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COLOGNETWENTE
2009
15 years 4 months ago
A Simple Linear-Time Recognition Algorithm for Weakly Quasi-Threshold Graphs
: Weakly quasi-threshold graphs form a proper subclass of the well-known class of cographs by restricting the join operation. In this paper we characterize weakly quasi-threshold g...
Stavros D. Nikolopoulos, Charis Papadopoulos
153
Voted
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
15 years 1 months ago
Contractions of Planar Graphs in Polynomial Time
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...
110
Voted
WG
2005
Springer
15 years 9 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
TCS
2008
15 years 3 months ago
The NP-hardness of finding a directed acyclic graph for regular resolution
Let R be a resolution refutation, given as a sequence of clauses without explicit description of the underlying dag. Then, it is NPcomplete to decide whether R is a regular resolu...
Samuel R. Buss, Jan Hoffmann 0002
CAV
2008
Springer
143views Hardware» more  CAV 2008»
15 years 5 months ago
Applying the Graph Minor Theorem to the Verification of Graph Transformation Systems
We show how to view certain subclasses of (single-pushout) graph transformation systems as well-structured transition systems, which leads to decidability of the covering problem v...
Salil Joshi, Barbara König