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» Unifying Two Graph Decompositions with Modular Decomposition
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DAM
2006
97views more  DAM 2006»
13 years 7 months ago
Fully dynamic recognition algorithm and certificate for directed cographs
This paper presents an optimal fully dynamic recognition algorithm for directed cographs. Given the modular decomposition tree of a directed cograph G, the algorithm supports arc ...
Christophe Crespelle, Christophe Paul
CORR
2008
Springer
91views Education» more  CORR 2008»
13 years 7 months ago
Digraph Decompositions and Monotonicity in Digraph Searching
Abstract. We consider graph searching games on directed graphs and corresponding digraph decompositions. In particular we show that two important variants of these games
Stephan Kreutzer, Sebastian Ordyniak
WG
1995
Springer
13 years 11 months ago
Modular Decomposition of Hypergraphs
We propose an O(n4) algorithm to build the modular decomposition tree of hypergraphs of dimension 3 and show how this algorithm can be generalized to compute in O(n3k−5) time th...
Paola Bonizzoni, Gianluca Della Vedova
MFCS
2005
Springer
14 years 27 days ago
Nondeterministic Graph Searching: From Pathwidth to Treewidth
Abstract. We introduce nondeterministic graph searching with a controlled amount of nondeterminism and show how this new tool can be used in algorithm design and combinatorial anal...
Fedor V. Fomin, Pierre Fraigniaud, Nicolas Nisse
JGT
2007
146views more  JGT 2007»
13 years 7 months ago
Compatible circuit decompositions of 4-regular graphs
A transition system T of an Eulerian graph G is a family of partitions of the edges incident to each vertex of G into transitions i.e. subsets of size two. A circuit decomposition...
Herbert Fleischner, François Genest, Bill J...