On Achromatic Coloring of Corona Graphs

Authors

  • D. Vijayalakshmi Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641029, Tamil Nadu
  • N. Nithya Devi Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641029, Tamil Nadu

DOI:

https://doi.org/10.26713/jims.v9i3.814

Keywords:

Achromatic coloring, Achromatic number, Corona graph

Abstract

Let \(G = (V(G),E(G))\) be a simple graph and an achromatic coloring of \(G\) is a proper vertex coloring of \(G\) in which every pair of colors appears on at least one pair of adjacent vertices. The achromatic number of \(G\) denoted by \(\psi(G)\), is the greatest number of colors in an achromatic coloring of \(G\). In this paper, we find out the achromatic number for Corona graph of Cycle with Path graphs on the same order \(n\), Path with Cycle graphs on the same order \(n\), Path with Complete graphs on the same order \(n\), Path of order \(n\) with Star graph on order \(n+1\), Path with Wheel graphs on the same order \(n\) and Ladder graph with Path graph on the same order \(n\).

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References

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Published

2017-10-31
CITATION

How to Cite

Vijayalakshmi, D., & Devi, N. N. (2017). On Achromatic Coloring of Corona Graphs. Journal of Informatics and Mathematical Sciences, 9(3), 657–663. https://doi.org/10.26713/jims.v9i3.814

Issue

Vol. 9 No. 3 (2017)

Section

Research Articles

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