On Chromatic Zagreb Indices of Certain Graphs

preprint2016arXivOpen access

Abstract

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

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