Multiplicative Sombor and Euclidean Reciprocal Index and Coindex of Certain Networks

Akhshaya P S; S S Sandhya

doi:https://doi.org/10.14445/22315373/IJMTT-V72I10P101

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 72 | Issue 10 | Year 2026 | Article Id. IJMTT-V72I10P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V72I10P101

Multiplicative Sombor and Euclidean Reciprocal Index and Coindex of Certain Networks

Akhshaya P S, S S Sandhya

Received	Revised	Accepted	Published
18 Aug 2026	23 Sep 2026	11 Oct 2026	27 Oct 2026

Citation :

Akhshaya P S, S S Sandhya, "Multiplicative Sombor and Euclidean Reciprocal Index and Coindex of Certain Networks," International Journal of Mathematics Trends and Technology (IJMTT), vol. 72, no. 10, pp. 1-8, 2026. Crossref, https://doi.org/10.14445/22315373/IJMTT-V72I10P101

Abstract

Topological indices are mathematical numbers obtained from the molecular graph structure, which characterize properties of the molecules, such as their branched, symmetric, and connected structure. Topological indices have considerable importance in Quantitative Structure-Activity Relationship (QSAR) and quantitative structure-property relationship (QSPR) studies, which allow the prediction of the properties of the molecule without performing laborious experiments. In this paper, we introduce a new topological index called the Multiplicative Euclidean Reciprocal Index (ERI), which is the square root of the sum of reciprocals of squared degrees of adjacent nodes for all edges in the molecular graph.

Keywords

Graph, Hexagonal Network, Oxide Network, Rhombus Oxide Network, Silicate Network, Graphene, Prism Network.

References

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