Neighborhood‎ ‎M-Polynomial of‎ ‎Graph‎ ‎Operations: Exploring Nanostructure Applications and Correcting Cycle-Related Graph Results

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎NEHU‎, ‎Shillong‎, ‎India

2 Mathematics Division‎, ‎Department of Basic Sciences and Social Sciences‎, ‎NEHU‎, ‎Shillong‎, ‎India

Abstract

‎Mathematical chemistry is a field of mathematics where chemical compounds are studied by associating a graph to it‎. ‎A topological index serves as a mathematical invariant that elucidates the underlying topological arrangement of molecules or networks‎. ‎This paper explores the neighborhood M-Polynomial concerning various graph operations of regular graphs‎. ‎Additionally‎, ‎it addresses and rectifies several erroneous results pertaining to cycle-related graphs that were previously reported‎.‎ Furthermore, we examine the applications of the neighborhood ‎$‎M‎$‎-Polynomial to the ‎$VPHX[m,n]‎‎$‎ nanotubes and $VPHY[m,n]‎$ ‎nanotori, presenting their potential in real-world.‎ Through this comprehensive investigation, we aim to advance the understanding of topological indices and their practical implications.

Keywords

Main Subjects

References

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Iranian Journal of Mathematical Chemistry
Volume 15, Issue 3
September 2024
Pages 155-174

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