On the Narumi-Katayama Index of Composite Graphs

Hosseinzadeh, Mohammad Ali; Iranmanesh, Ali; Došlić, Tomislav

doi:10.5562/cca2329

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2015

2024

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Cited by 7 publications

(2 citation statements)

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“…Readers interested in more information on computing topological indices of the link of graphs can be referred to Refs. [18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Resultsmentioning

confidence: 99%

On Vertex-Degree-Based Invariants of Link of Graphs with Application in Dendrimers

Azari¹,

Falahati-Nezhad²

2015

j comput theor nanosci

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Let G 1 and G 2 be simple connected graphs with disjoint vertex sets V G 1 and V G 2 , respectively. For given vertices a 1 ∈ V G 1 and a 2 ∈ V G 2 , a link of G 1 and G 2 by vertices a 1 and a 2 is obtained by joining a 1 and a 2 by an edge in the union of G 1 and G 2 . In this paper, we present exact formulas for computing the Randić connectivity index, sum-connectivity index, harmonic index, atom-bond connectivity index, and geometric-arithmetic index of the link of graphs. Results are applied to obtain exact formulas for computing these vertex-degree based invariants for a class of nanostar dendrimers.

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“…Readers interested in more information on computing topological indices of the link of graphs can be referred to Refs. [18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Resultsmentioning

confidence: 99%