A Study on Leap Sigma Index and Multiplicative Leap Sigma Index of Some Nanostructures

Autores

  • Shilpa Sasimath Department of Mathematics, UBDT College of Engineering, Davangere, A Constituent College of Visvesvaraya Technological University, Belagavi, Karnataka-577002, India.
  • Niranjan K M Department of Mathematics, UBDT College of Engineering, Davangere, A Constituent College of Visvesvaraya Technological University, Belagavi, Karnataka-577002, India.
  • Venkanagouda M Goudar Department of Mathematics, Sri Siddhartha Institute of Technology, A Constituent College of Sri Siddhartha Academy of Higher Education, Tumkur, Karnataka-572105, India
  • RAGHU S GM University

DOI:

https://doi.org/10.5269/bspm.80929

Resumo

This paper introduces several novel topological indices derived from molecular structures including the Leap Sigma index, Leap Sigma Multiplicative index, Reduced Sombar Leap index, and Reduced Sombar Leap Multiplicative index, along with their exponential forms. We computed leap sigma indices and explore their applications in characterizing molecular properties. Additionally, we compute the Leap indices for various nanostructures and Polycyclic Aromatic Hydrocarbons (PAHn), highlighting their significance in understanding the structural characteristics and behaviour of these compounds. Our findings contribute to the ongoing research in molecular topology and its implications in chemistry, materials science, nanoscience, pharmacology, graph theory and others.

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Publicado

2026-06-05

Edição

v. 44 (2026): Research Articles

Seção

Artigos

Licença

Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática

Creative Commons License
Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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