English

A Characterization of Mixed Unit Interval Graphs

Combinatorics 2014-06-12 v2

Abstract

We give a complete characterization of mixed unit interval graphs, the intersection graphs of closed, open, and half-open unit intervals of the real line. This is a proper superclass of the well known unit interval graphs. Our result solves a problem posed by Dourado, Le, Protti, Rautenbach and Szwarcfiter (Mixed unit interval graphs, Discrete Math. 312, 3357-3363 (2012)).

Keywords

Cite

@article{arxiv.1312.0729,
  title  = {A Characterization of Mixed Unit Interval Graphs},
  author = {Felix Joos},
  journal= {arXiv preprint arXiv:1312.0729},
  year   = {2014}
}

Comments

17 pages, referees' comments added

R2 v1 2026-06-22T02:19:34.399Z