A Characterization of 2-Tree Probe Interval Graphs

oleh: Brown David E., Flesch Breeann M., Richard J.

Format: Article
Diterbitkan: University of Zielona Góra 2014-08-01

Deskripsi

A graph is a probe interval graph if its vertices correspond to some set of intervals of the real line and can be partitioned into sets P and N so that vertices are adjacent if and only if their corresponding intervals intersect and at least one belongs to P. We characterize the 2-trees which are probe interval graphs and extend a list of forbidden induced subgraphs for such graphs created by Pržulj and Corneil in [2-tree probe interval graphs have a large obstruction set, Discrete Appl. Math. 150 (2005) 216-231]