International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

The Rainbow Mean Index of Corona Product of Graphs

  • K. Maheswari
  • G. Rajasekaran*

    * Corresponding author

    Abstract

    In a connected graph G with at least three vertices, an edge coloring c assigns positive integers to the edges. The chromatic mean of a vertex v is determined by averaging the colors of all incident edges, provided that the result remains a positive integer. A coloring c is a rainbow mean coloring if every vertex in G has a unique chromatic mean. The rainbow mean index of c is the highest chromatic mean assigned to any vertex, while the rainbow mean index of G is the smallest possible maximum chromatic mean for all valid rainbow mean colorings. In this study, we calculate the rainbow mean index of corona product of Px◦H; G◦Py and Px◦Py, where G and H are regular graphs. In addition, we calculate the rainbow mean index of the join graph G∨K1, where G is a regular graph.

    How to Cite

    K. Maheswari, G. Rajasekaran, The Rainbow Mean Index of Corona Product of Graphs, Int. J. Anal. Appl. 23 (2025), 181. https://doi.org/10.28924/2291-8639-23-2025-181

    BibTeX
    @article{Maheswari2025,
  author  = {Maheswari, K. and Rajasekaran, G.},
  title   = {The Rainbow Mean Index of Corona Product of Graphs},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {181},
  doi     = {10.28924/2291-8639-23-2025-181}
}

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