变换图Gxy+中的偏心连通性指标

IF 0.3 Q4 COMPUTER SCIENCE, THEORY & METHODS

Acta Universitatis Sapientiae Informatica Pub Date : 2023-08-01 DOI:10.2478/ausi-2023-0009

A. Aytaç, Belgin Vatansever

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引用次数: 0

摘要

摘要设G为顶点集V(G)、边集E(G)的连通图。G的偏心连度指标定义为∑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)}其中ec(V)为顶点V的偏心度，deg(V)为顶点V的度，用ec(G)表示。本文研究了变换图Gxy+的偏心连通性指标。

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Eccentric connectivity index in transformation graph Gxy+

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+.

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Acta Universitatis Sapientiae Informatica COMPUTER SCIENCE, THEORY & METHODS-

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