The Edge Geometric-Arithmetic Index of an Infinite Class of Dendrimers

Odabaş, Zeynep Nihan; Berberler, Murat Erşen

doi:10.1166/jctn.2013.3188

Cited by 2 publications

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“…where d G (e) denotes the degree of the edge e in G [9,12]. The line graph L(G) of a graph G is a graph such that each vertex of L(G) represents an edge of G, and any two vertices of L(G) are adjacent if and only if their edges are incident, meaning they share a common end vertex, in graph G [1,2,17].…”

Section: Introductionmentioning

confidence: 99%

On Arithmetic-Geometric Index (Ga) and Edge Ga Index

Aytaç¹,

Turaci²

2018

TWMS Journal of Applied and Engineering Mathematics

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Let G(V (G), E(G)) be a simple connected graph and dG(u) be the degree of the vertex u. Topological indices are numerical parameters of a graph which are invariant under graph isomorphisms. Recently, people are studying various topological measures such as the arithmetic-geometric index and the edge version of arithmeticgeometric index of a graph G. Topological index based on the ratios of geometrical and arithmetical means of end vertex degrees of edges. In this paper, exact values for the arithmetic-geometric index and the edge version of arithmetic-geometric index of wheel related graphs namely gear, helm, sunflower and friendship graph are obtained.

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Section: Introductionmentioning

confidence: 99%

On Arithmetic-Geometric Index (Ga) and Edge Ga Index

Aytaç¹,

Turaci²

2018

TWMS Journal of Applied and Engineering Mathematics

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Eccentric connectivity index in transformation graph G^xy+

Aytaç

Vatansever

2023

Acta Universitatis Sapientiae, Informatica

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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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The Edge Geometric-Arithmetic Index of an Infinite Class of Dendrimers

Cited by 2 publications

References 0 publications

On Arithmetic-Geometric Index (Ga) and Edge Ga Index

On Arithmetic-Geometric Index (Ga) and Edge Ga Index

Eccentric connectivity index in transformation graph G^xy+

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The Edge Geometric-Arithmetic Index of an Infinite Class of Dendrimers

Cited by 2 publications

References 0 publications

On Arithmetic-Geometric Index (Ga) and Edge Ga Index

On Arithmetic-Geometric Index (Ga) and Edge Ga Index

Eccentric connectivity index in transformation graph Gxy+

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Eccentric connectivity index in transformation graph G^xy+