A Characterization of 2-Tree Probe Interval Graphs

David E. Brown ; Breeann M. Flesch ; J. Richard

Discussiones Mathematicae Graph Theory, Tome 34 (2014), p. 509-527 / Harvested from The Polish Digital Mathematics Library

Résumé

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]

Détail

Publié le : 2014-01-01

Zbl 1305.05159

EUDML-ID : urn:eudml:doc:268020

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