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

  • Palaniammal S
  • THILAK RAJKUMAR V C Jansons Institute of Technology
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.
Published
2026-02-25
How to Cite
S, P., & V C, T. R. (2026). On the r-Hued Edge Chromatic Number of Corona Products of Ladder, Cycle, and Wheel Graphs . Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2910
Section
Research Articles