Computational analysis of NM-polynomial based topological indices and graph-entropies of carbon nanotube Y-junctions

TL;DR

This paper computes various topological indices and graph entropies for carbon nanotube Y-junctions, aiding in understanding their structural complexity and stability for nanodevice applications.

Contribution

It introduces the computation of neighborhood degree sum-based topological indices and entropies specifically for carbon nanotube Y-junction graphs, a novel application.

Findings

Computed multiple topological indices for Y-junctions.

Analyzed the heterogeneity and stability of Y-junctions.

Provided insights into the structural properties of nanotube junctions.

Abstract

Carbon nanotube Y-junctions are of great interest to the next generation of innovative multi-terminal nanodevices. Topological indices are graph-theoretically based parameters that describe various structural properties of a chemical molecule. The entropy of a graph is a topological descriptor that serves to characterize the complexity of the underlying molecular graph. The concept of entropy is a physical property of a thermodynamic system. Graph entropies are the essential thermophysical quantities defined for various graph invariants and are applied to measure the heterogeneity and relative stabilities of molecules. In this paper, several neighborhood degree sum-based topological indices including graph-based entropies of carbon nanotube Y-junction graphs are computed.