Encyclopedia of Algorithms

2016 Edition
| Editors: Ming-Yang Kao

Multitolerance Graphs

  • George B. Mertzios
Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-2864-4_684

Years and Authors of Summarized Original Work

  • 2011; Mertzios

Problem Definition

Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. A graph G = (V, E) on n vertices is a tolerance graph if there exists a collection \(I =\{ I_{v}\ \vert \ v \in V \}\)

Keywords

Intersection model Maximum clique Minimum coloring Maximum-weight independent set Multitolerance graphs Tolerance graphs 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • George B. Mertzios
    • 1
  1. 1.School of Engineering and Computing SciencesDurham UniversityDurhamUK