English

The dib-chromatic number of digraphs

Combinatorics 2026-03-10 v2

Abstract

We study an extension to directed graphs of the parameter called the bb-chromatic number of a graph in terms of acyclic vertex colorings: the dib-chromatic number. We give general bounds for this parameter. We also show some results about tournaments and regular digraphs.

Keywords

Cite

@article{arxiv.2411.14248,
  title  = {The dib-chromatic number of digraphs},
  author = {Nahid Javier-Nol and Christian Rubio-Montiel and Ingrid Torres-Ramos},
  journal= {arXiv preprint arXiv:2411.14248},
  year   = {2026}
}

Comments

10 pages, 1 figure