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2014 | 34 | 3 | 509-527

Tytuł artykułu

A Characterization of 2-Tree Probe Interval Graphs

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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]

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  • Department of Mathematics and Statistics Utah State University Logan, UT 84322, USA
  • Mathematics Department Western Oregon University Monmouth, OR 97361, USA
  • Lundgren Department of Mathematical Sciences University of Colorado Denver Denver, CO 80217, USA


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