Decomposing Subcubic Graphs into Claws, Paths or Triangles
Résumé
Let S = {K1,3, K3, P4} be the set of connected graphs of size 3. We study the problem of partitioning the edge set of a graph G into graphs taken from any non-empty S ⊆ S. The problem is known to be NP-complete for any possible choice of S in general graphs. In this paper, we assume that the input graph is subcubic (i.e. all its vertices have degree at most 3), and study the computational complexity of the problem of partitioning its edge set for any choice of S. We identify all polynomial and NP-complete problems in that setting.
Fichier principal
Decomposing_Subcubic_Graphs_into_Claws__Paths_or_Triangles.pdf (678.02 Ko)
Télécharger le fichier
Origine | Fichiers produits par l'(les) auteur(s) |
---|