Unit and single point interval graphs

Authors:
Dieter Rautenbach;Jayme L. Szwarcfiter
Affiliations:
Institut für Optimierung und Operations Research, Universität Ulm, Ulm, Germany;Instituto de Matemática, NCE, and COPPE, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Venue:
Discrete Applied Mathematics
Year:
2012

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Abstract

We describe a linear time algorithm for the recognition of graphs that have an intersection representation using unit length intervals and single point intervals. Furthermore, we characterize these graphs using forbidden induced subgraphs.