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» Unifying Two Graph Decompositions with Modular Decomposition
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DAM
2010
137views more  DAM 2010»
14 years 9 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
15 years 1 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»
14 years 7 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
15 years 2 months 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»
15 years 2 months 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...