On the r-Hued Edge Chromatic Number of Corona Products of Ladder, Cycle, and Wheel Graphs

Authors

  • S. Palaniammal Department of Mathematics, Sri Krishna Adithya College of Arts and Science, Coimbatore-641 042, Tamil Nadu, India
  • V.C. THILAK RAJKUMAR Department of Mathematics, Jansons Institute of Technology, Coimbatore-641 659, Tamil Nadu, India

DOI:

https://doi.org/10.19139/soic-2310-5070-2910

Keywords:

r-hued edge chromatic number, corona product, ladder graph, cycle graph, wheel graph.

Abstract

This paper explores the concept of r-hued edge coloring in simple graphs, wherein each edge must be adjacent to at least minrdeg(e) edges of distinct colors, where deg(e) denotes the number of edges adjacent to a given edge e. The minimum number of colors required to achieve such a coloring in a graph G is known as the r-hued edge chromatic number, denoted by r(G). We compute r(G) for various graph constructions involving corona products,speci cally focusing on combinations of ladder graphs, cycle graphs, and wheel graphs.

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Published

2026-02-25

Issue

Section

Research Articles

How to Cite

On the r-Hued Edge Chromatic Number of Corona Products of Ladder, Cycle, and Wheel Graphs . (2026). Statistics, Optimization & Information Computing, 15(5), 3697-3705. https://doi.org/10.19139/soic-2310-5070-2910