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» Unifying Two Graph Decompositions with Modular Decomposition
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DAM
2010
137views more  DAM 2010»
13 years 7 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
WG
1997
Springer
13 years 11 months ago
Parallel Algorithms for Treewidth Two
In this paper we present a parallel algorithm that decides whether a graph G has treewidth at most two, and if so, construct a tree decomposition or path decomposition of minimum ...
Babette de Fluiter, Hans L. Bodlaender
SIAMDM
2008
105views more  SIAMDM 2008»
13 years 5 months ago
A Simple Linear Time LexBFS Cograph Recognition Algorithm
Recently lexicographic breadth first search (LexBFS) has been shown to be a very powerful tool for the development of linear time, easily implementable recognition algorithms for v...
Anna Bretscher, Derek G. Corneil, Michel Habib, Ch...
GD
2005
Springer
14 years 28 days ago
Drawing Graphs Using Modular Decomposition
Abstract. In this paper we present an algorithm for drawing an undirected graph G which takes advantage of the structure of the modular decomposition tree of G. Specifically, our ...
Charis Papadopoulos, Constantinos Voglis
ESA
2005
Springer
131views Algorithms» more  ESA 2005»
14 years 28 days ago
Computing Common Intervals of K Permutations, with Applications to Modular Decomposition of Graphs
We introduce a new way to compute common intervals of K permutations based on a very simple and general notion of generators of common intervals. This formalism leads to simple an...
Anne Bergeron, Cedric Chauve, Fabien de Montgolfie...