HYPER CHROMATIC AND AUGMENTED CHROMATIC ZAGREB INDICES OF WHEEL RELATED GRAPHS AND CYCLE RELATED GRAPHS
B. BASAVANAGOUD 1, GOUTAM VEERAPUR 2 1. Department of Mathematics,
Karnatak University, Dharwad - 580 003, Karnataka, INDIA.
e-mail: b.basavanagoud@gmail.com, bbasavanagoud@kud.ac.in
2. Department of Mathematics,
Karnatak University, Dharwad - 580 003, Karnataka, INDIA.
e-mail: samarasajeevana@gmail.com
In this paper, we introduce the chromatic variance of a graph. This notion is a counterpart for the variance of a graph introduced by F. K. Bell. Here, in the setting of graph color-ing, the role played by the degrees of graph vertices is replaced by the products between the indices of colors and the cardinality of the corresponding color class. We compute the chromatic variance, the hyper chromatic and augmented chromatic Zagreb indices of wheel related graphs and cycle related graphs.
