The atomic decomposition of strongly connected graphs

Bruno Courcelle (1, 2)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique
2 IUF - Institut universitaire de France

We define and study a new canonical decomposition of strongly connected graphs that we call the atomic decomposition. We can construct it in linear time from the decomposition in 3-connected components of the considered graph. In a companion article, we use it to characterize, up to homeomorphism, all closed curves in the plane having a given Gauss word.

Mots clés: strongly connected graph; canonical decomposition; 3-connected components

Domaines: Logique en informatique [cs.LO]

Bruno Courcelle. The atomic decomposition of strongly connected graphs. 2013. ⟨hal-00875661⟩