English

Kernels in digraphs with colored vertices

Combinatorics 2025-03-25 v1

Abstract

In this paper, we introduce the concept of up-color kernel, which is a generalization of a kernel for vertex-colored digraphs. We give sufficient and necessary conditions for several families of digraphs to have an up-color kernel, as well as for certain products of digraphs.

Keywords

Cite

@article{arxiv.2503.18298,
  title  = {Kernels in digraphs with colored vertices},
  author = {Mucuy-kak Guevara and Teresa I. Hoekstra-Mendoza and Miguel Licona-Velazquez},
  journal= {arXiv preprint arXiv:2503.18298},
  year   = {2025}
}

Comments

17 pages, 5 figures

R2 v1 2026-06-28T22:31:42.414Z