Eccentric connectivity index in transformation graph Gxy+

Aysun Aytaç; Belgin Vatansever

doi:10.2478/ausi-2023-0009

Abstract

Let G be a connected graph with vertex set V(G)and edge set E(G). The eccentric connectivity index of G is defined as $\sum_{ν \in V (G)} ec (ν) deg (ν)$ \sum\limits_{\nu\in{\rm{V}}\left({\rm{G}}\right)}{{\rm{ec}}\left(\nu\right)\,{\rm{deg}}\left(\nu\right)} where ec(v) the eccentricity of a vertex v and deg(v)is its degree and denoted by ɛ^c(G). In this paper, we investigate the eccentric connectivity index of the transformation graph G^xy+.

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Eccentric connectivity index in transformation graph Gxy+

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