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» Unifying Two Graph Decompositions with Modular Decomposition
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IPL
2007
130views more  IPL 2007»
13 years 7 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente
BPM
2008
Springer
155views Business» more  BPM 2008»
13 years 9 months ago
The Refined Process Structure Tree
Abstract. We consider workflow graphs as a model for the control flow of a business process model and study the problem of workflow graph parsing, i.e., finding the structure of a ...
Jussi Vanhatalo, Hagen Völzer, Jana Koehler
DM
1999
145views more  DM 1999»
13 years 7 months ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
SWAT
2004
Springer
123views Algorithms» more  SWAT 2004»
14 years 22 days ago
A Simple Linear-Time Modular Decomposition Algorithm for Graphs, Using Order Extension
The first polynomial time algorithm (O(n4 )) for modular decomposition appeared in 1972 [8] and since then there have been incremental improvements, eventually resulting in linear...
Michel Habib, Fabien de Montgolfier, Christophe Pa...
WG
2005
Springer
14 years 26 days ago
Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs
This paper considers the problem of maintaining a compact representation (O(n) space) of permutation graphs under vertex and edge modifications (insertion or deletion). That repr...
Christophe Crespelle, Christophe Paul