Kernels in digraphs with colored vertices

Fuente: arXiv
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Autori principali: Guevara, Mucuy-kak, Hoekstra-Mendoza, Teresa I., Licona-Velazquez, Miguel
Natura: Preprint
Pubblicazione: 2025
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author Guevara, Mucuy-kak
Hoekstra-Mendoza, Teresa I.
Licona-Velazquez, Miguel
author_facet Guevara, Mucuy-kak
Hoekstra-Mendoza, Teresa I.
Licona-Velazquez, Miguel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18298
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Kernels in digraphs with colored vertices
Guevara, Mucuy-kak
Hoekstra-Mendoza, Teresa I.
Licona-Velazquez, Miguel
Combinatorics
05C69, 05C15, 05C20 (Primary) 05C22 (Secondary)
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.
title Kernels in digraphs with colored vertices
topic Combinatorics
05C69, 05C15, 05C20 (Primary) 05C22 (Secondary)
url https://arxiv.org/abs/2503.18298