Eccentric connectivity index in transformation graph G<sup>xy+</sup>-Reference-Cited by-同舟云学术

Eccentric connectivity index in transformation graph G^xy+

Published:2023-08-01 Issue:1 Volume:15 Page:111-123
ISSN:2066-7760
Container-title:Acta Universitatis Sapientiae, Informatica
language:en
Short-container-title:

Author:

Aytaç Aysun¹,Vatansever Belgin²

Affiliation:

1. 1 Faculty of Sciences, Department of Mathematics , Ege University , İzmir , Turkey

2. 2 Faculty of Sciences, Department of Mathematics , Ege University , İzmir , Turkey

Abstract

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

∑ ν ∈ 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 ɛc(G). In this paper, we investigate the eccentric connectivity index of the transformation graph Gxy+.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ausi-2023-0009

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