On Chromatic Zagreb Indices of Certain Graphs

Abstract

In this paper we introduce a variation of the well-known Zagreb indices by considering a proper vertex colouring of a graph $G$. The chromatic Zagreb indices are defined in terms of the parameter $c(v),v\in V(G)$ instead of the invariant $d_G(v)$. The notion of chromatically stable graphs is also introduced.

14 pages