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arxiv: 1605.01350 · v1 · pith:T5OGZRAVnew · submitted 2016-05-02 · 🧮 math.GM

On Chromatic Zagreb Indices of Certain Graphs

classification 🧮 math.GM
keywords indiceszagrebchromaticgraphscertainchromaticallycolouringconsidering
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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.

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