Fractional coloring of product signed graphs

Fuente: arXiv
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Main Author: Atangana, Pie Desire Ebode
Format: Preprint
Published: 2025
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author Atangana, Pie Desire Ebode
author_facet Atangana, Pie Desire Ebode
contents This study examines the fractional chromatic number associated with the direct product of signed graphs. It shows that if $(H,τ)$ is a signed circulant graph $G(n,S,T)$, then for any signed graph $(G,σ)$, the fractional chromatic number of their direct product is the lower number between the fractional chromatic number of $(G,σ)$ and $(H,τ)$.
format Preprint
id arxiv_https___arxiv_org_abs_2503_20901
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fractional coloring of product signed graphs
Atangana, Pie Desire Ebode
Combinatorics
This study examines the fractional chromatic number associated with the direct product of signed graphs. It shows that if $(H,τ)$ is a signed circulant graph $G(n,S,T)$, then for any signed graph $(G,σ)$, the fractional chromatic number of their direct product is the lower number between the fractional chromatic number of $(G,σ)$ and $(H,τ)$.
title Fractional coloring of product signed graphs
topic Combinatorics
url https://arxiv.org/abs/2503.20901