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Journal of Information and Optimization Sciences

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Open Access ¡Peer-reviewed¡ISSN (Online): 2169-0103¡ISSN (Print): 0252-2667

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

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Journal of Information and Optimization Sciences
Open Access Research Article

Euler-Sombor index of chemical graphs and its applications

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pp. 1515–1524Vol. 47Issue 4April 2026DOI: 10.47974/JIOS-1975XML
Received:
11 Sep 2024
Published Online:
13 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1975
Pages:
1515–1524

Abstract

Given a simple graph 𝒜 = (V𝒜, E𝒜). The Euler-Sombor index of 𝒜 is given by  EU(𝒜) = Stk∈E𝒜 √h(t)2 + h(k)2 + h(t)h(k), in which η(c) is the degree of c ∈ V𝒜. In this paper, we focus on the chemical graphs which are simple graphs with property η(τ) ≤ 4 for any vertex τ ∈ V𝒜. We investigate the extremal problems of the EU index on the chemical graphs and find the sharp bounds for this index. Furthermore, we obtain the Euler-Sombor index for some nanostructures including Octagonal tilling OT[p, q], HAC5 C6 C7 [p,q] nanotube, titania TiO2 [p, q] nanotube, and nanosheet VC5 C7 [p, q].

Keywords

Chemical graphEuler-Sombor indexTree

Subject Classifications

05C0905C25

References

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