New decompositions of 2-structures

Michael Rao (1)

1 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications

We present a family of decompositions of $2$-structures generalizing the modular decomposition, and $O(n^3)$ time algorithms to compute all these decompositions. These results can be applied to non-oriented, oriented and directed graphs. Bi-join decomposition of non-oriented graphs and of tournaments are two special cases of this family of decomposition. Two others special cases are generalizations of the bi-join decomposition on directed graphs.

Mots clés: graph; 2-structure; modular decomposition; decomposition; algortihm

Domaines: Algorithme et structure de données [cs.DS]

Michael Rao. New decompositions of 2-structures. 2007. ⟨hal-00141480v2⟩