On Equitable Coloring of Sun let Graph Families

Kaliraj. K1, Vernold Vivin.J2, Akbar Ali.M.M3
1Department of Mathematics, R.V.S.College of Engineering and Technology, Coimbatore 641 402, Tamil Nadu, India.
2Department of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore- 641 062, Tamil Nadu, India.
3Department of Mathematics, Karunya University, Coimbatore- 641 114, Tamil Nadu, India.

Abstract

The notion of equitable coloring was introduced by Meyer in \(1973\). In this paper, we obtain interesting results regarding the equitable chromatic number \(\chi=\) for the sun let graphs \(S_n\), line graph of sun let graphs \(L(S_n)\), middle graph of sun let graphs \(M(S_n)\), and total graph of sun let graphs \(T(S_n)\).