2-Distance Coloring of Planar Graphs with Specific Maximum Degree

Fuente: arXiv
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Autor principal: Hajjar, Sara Al
Formato: Preprint
Publicado: 2025
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author Hajjar, Sara Al
author_facet Hajjar, Sara Al
contents A k-distance r-coloring of a graph is a coloring of the vertices of the graph such that if the distance between 2 vertices x and y is less or equal to k, then x and y must have distinct colors. A planar graph is a graph that can be drawn with no edge crossing. We will study the 2-distance coloring of planar graphs with maximum degree at least 6.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10861
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle 2-Distance Coloring of Planar Graphs with Specific Maximum Degree
Hajjar, Sara Al
Combinatorics
A k-distance r-coloring of a graph is a coloring of the vertices of the graph such that if the distance between 2 vertices x and y is less or equal to k, then x and y must have distinct colors. A planar graph is a graph that can be drawn with no edge crossing. We will study the 2-distance coloring of planar graphs with maximum degree at least 6.
title 2-Distance Coloring of Planar Graphs with Specific Maximum Degree
topic Combinatorics
url https://arxiv.org/abs/2509.10861