English

Coloring problem of signed interval graphs

Combinatorics 2019-07-23 v2

Abstract

The chromatic number of signed graphs is defined recently. The coloring and clique problem of interval graphs has been studied and polynomial time algorithms are established. Here we consider these problems for signed interval graphs and prove that the coloring problem of signed interval graphs is NP-complete whereas their ordinary clique problem is in P. We also study the complexity of further related problems.

Keywords

Cite

@article{arxiv.1612.03280,
  title  = {Coloring problem of signed interval graphs},
  author = {F. Ramezani},
  journal= {arXiv preprint arXiv:1612.03280},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-22T17:19:24.957Z