Interval vertex coloring

Mária Maceková, Zuzana Šárošiová and Roman Soták

Applied Mathematics and Computation, 2024, vol. 470, issue C

Abstract: In this paper we consider various vertex versions of interval edge colorings. We distinguish two types of interval vertex colorings − an open and a closed interval vertex coloring, which are defined in such a way that colors used on open or closed neighborhood of each vertex form an integer interval, respectively. These colorings need not to be necessarily proper, and as coloring of all vertices with only one color is both open and closed, a natural goal is to maximize the total number of colors used for these colorings.

Keywords: Vertex coloring; Interval chromatic number; Tree; Caterpillar tree (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:470:y:2024:i:c:s0096300324000316

DOI: 10.1016/j.amc.2024.128559

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