The hyper Wiener index of one pentagonal carbon nanocone
M. H. Khalifeh, M. R. Darafsheh, and Hassan Jolany

TL;DR
This paper calculates the hyper-Wiener index of a specific carbon nanocone structure with one pentagonal core and multiple hexagonal layers, providing an explicit formula for this topological index.
Contribution
It introduces an explicit calculation of the hyper-Wiener index for one-pentagonal carbon nanocones, a novel topological analysis for this molecular structure.
Findings
Explicit formula for the hyper-Wiener index of G_n
Provides insights into the topological properties of carbon nanocones
Enhances understanding of molecular structure-index relationships
Abstract
The aim of this paper is the computing one of topological indices of One-pentagonal carbon Nanocone. One-pentagonal carbon nanocone consists of one pentagone as its core surrounded by layers of hexagons .if there are n layers,then the graph of this molecules is denoted by G_n .In This paper our aim is to calculate the hyper-Wiener index of G_n explicitly .
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