English

Unit Mixed Interval Graphs

Combinatorics 2014-05-19 v1

Abstract

In this paper we extend the work of Rautenbach and Szwarcfiter by giving a structural characterization of graphs that can be represented by the intersection of unit intervals that may or may not contain their endpoints. A characterization was proved independently by Joos, however our approach provides an algorithm that produces such a representation, as well as a forbidden graph characterization.

Keywords

Cite

@article{arxiv.1405.4247,
  title  = {Unit Mixed Interval Graphs},
  author = {Alan Shuchat and Randy Shull and Ann N. Trenk and Lee C. West},
  journal= {arXiv preprint arXiv:1405.4247},
  year   = {2014}
}
R2 v1 2026-06-22T04:16:18.944Z