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» Unifying Two Graph Decompositions with Modular Decomposition
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IPL
2007
130views more  IPL 2007»
14 years 9 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»
14 years 11 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»
14 years 9 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»
15 years 2 months 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
15 years 2 months 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