Closed graphs are proper interval graphs

Let G be a connected simple graph. We prove that G is a closed graph if and only if G is a proper interval graph. As a consequence we obtain that there exist linear-time algorithms for closed graph recognition.

Bibliographic Details
Main Authors: Crupi Marilena, Rinaldo Giancarlo
Format: Article
Language:English
Published: Sciendo 2014-09-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2014-0048