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COLOGNETWENTE
2009
14 years 10 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
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
14 years 7 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...
67
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WG
2005
Springer
15 years 2 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
14 years 9 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»
14 years 11 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