Pré-Publication, Document De Travail Année : 2015

On powers of interval graphs and their orders

Résumé

It was proved by Raychaudhuri in 1987 that if a graph power Gk1 is an interval graph, then so is the next power Gk. This result was extended to m-trapezoid graphs by Flotow in 1995. We extend the statement for interval graphs by showing that any interval representation of Gk1 can be extended to an interval representation of Gk that induces the same left endpoint and right endpoint orders. The same holds for unit interval graphs. We also show that a similar fact does not hold for trapezoid graphs.

Dates et versions

hal-01198830 , version 1 (14-09-2015)

Identifiants

Citer

Florent Foucaud, Reza Naserasr, Aline Parreau, Petru Valicov. On powers of interval graphs and their orders. 2015. ⟨hal-01198830⟩
694 Consultations
0 Téléchargements

Partager

More