English

Deficiency in Signed Graphs

Combinatorics 2020-06-01 v1

Abstract

We introduce the concept of deficiency in signed graphs. The deficiency of a coloration is the number of unused colors. We classify the deficiency of 2-chromatic graphs. There are four decision problems about the minimum and maximum deficiency of a 3-chromatic signed graph. We answer two of them with a polynomial-time algorithm for deciding the maximum deficiency of a 3-chromatic signed graph.

Keywords

Cite

@article{arxiv.2005.14336,
  title  = {Deficiency in Signed Graphs},
  author = {Amelia R. W. Mattern},
  journal= {arXiv preprint arXiv:2005.14336},
  year   = {2020}
}
R2 v1 2026-06-23T15:53:59.081Z