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Research Article | Open Access

AVD edge-colorings of cubic Halin graphs

Ningge Huang, Lily Chen( )
School of Mathematical Sciences, Huaqiao University, Quanzhou, China
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Abstract

The adjacent vertex-distinguishing edge-coloring of a graph G is a proper edge-coloring of G such that each pair of adjacent vetices receives a distinct set of colors. The minimum number of colors required in an adjacent vertex-distinguishing edge-coloring of G is called the adjacent vertex-distinguishing chromatic index. In this paper, we determine the adjacent vertex distinguishing chromatic indices of cubic Halin graphs whose characteristic trees are caterpillars.

Keywords

AVD edge-coloringadjacent vertex-distinguishing chromatic indexHalin graphscubic graphs
CLC number: 05C15

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27820-27839
DOI: 10.3934/math.20231423

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Huang N, Chen L. AVD edge-colorings of cubic Halin graphs. AIMS Mathematics, 2023, 8(11): 27820-27839. https://doi.org/10.3934/math.20231423

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Received: 25 June 2023
Revised: 11 September 2023
Accepted: 18 September 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)