English

On the achromatic number of signed graphs

Combinatorics 2019-02-14 v1 Computational Complexity

Abstract

In this paper, we generalize the concept of complete coloring and achromatic number to 2-edge-colored graphs and signed graphs. We give some useful relationships between different possible definitions of such achromatic numbers and prove that computing any of them is NP-complete.

Keywords

Cite

@article{arxiv.1902.04828,
  title  = {On the achromatic number of signed graphs},
  author = {Dimitri Lajou},
  journal= {arXiv preprint arXiv:1902.04828},
  year   = {2019}
}