The Roberts characterization of proper and unit interval graphs

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The Roberts characterization of proper and unit interval graphs

In this note, a constructive proof that the classes of proper interval graphs and unit interval graphs coincide is given, a result originally established by Fred S. Roberts. Additionally, the proof yields a linear-time and space algorithm to compute a unit interval representation, given a proper interval graph as input. © 2007 Elsevier B.V. All rights reserved.

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A note on the Roberts characterization of proper and unit interval graphs

In this note, a constructive proof is given that the classes of proper interval graphs and unit interval graphs coincide, a result originally established by Fred S. Roberts. Additionally, the proof yields a linear-time and space algorithm to compute a unit interval representation, given a proper interval graph as input.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2007

ISSN: 0012-365X

DOI: 10.1016/j.disc.2006.04.043