On topological indices of third type of hex-derived networks

A topological index is a numerical representation of a chemical network in chemical graph theory. Similar to their chemical representation, a topological descriptor identifies specific the physical attributes of the underlying chemical compounds. We describe the third type of hex-derived networks re...

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Bibliographic Details
Published in:Journal of mathematical chemistry 2024-11, Vol.62 (10), p.2407-2429
Main Authors: Ali, Haidar, Ali, Didar Abdulkhaleq, Liaqat, Fareeha, Yaseen, Muhammad Huzaifa, Khan, Muhammad Ijaz, Ali, Shahid, Almalki, Norah, Abdullaeva, Barno Sayfutdinovna
Format: Article
Language:English
Subjects:
Biological properties
Chemical compounds
Chemistry
Chemistry and Materials Science
Graph theory
Graphical representations
Math. Applications in Chemistry
Networks
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
Topology
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Summary:A topological index is a numerical representation of a chemical network in chemical graph theory. Similar to their chemical representation, a topological descriptor identifies specific the physical attributes of the underlying chemical compounds. We describe the third type of hex-derived networks rectangular hex-derived network R H D N 3 , chain hex-derived network C H D N 3 , in our work ( r ). In this paper, modified and efficient formulas based on multiplicative graph invariants will be constructed. Such as ordinary geometric-arithmetic (OGA), general version of harmonic index (GHI), sum connectivity indes (SI), general sum connectivity index (GSI), first and second Gourava and hyper- Gourava indices, Shegehalli and Kanabur indices, first generalised version of Zagreb index (GZI) and forgotten index (FI) for the subdivided hex -derived R H D N 3 ( r ) , C H D N 3 ( r ) networks. In order to develop some new formulas we the compute the multiplicative topological properties. This study found several types of edges for computing and also discussed the order and size.To properly appreciate the chemical compounds, physical and biological characteristics we can combine the study of the networks described above with the chemical compounds and their graphical structures. These observations have the potential to evaluate bio and physiological activities.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-023-01555-8