Study of Carbon Nanocones <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1">
                     <msub>
                        <mrow>
                           <mtext>CNC</mtext>
                        </mrow>
                        <mrow>
                           <mi>k</mi>
                        </mrow>
                     </msub>
                     <mfenced open="(" close=")" separators="|">
                        <mrow>
                           <mi>n</mi>
                        </

Asif, Muhammad; Hussain, Muhammad Tahir; Almohamedh, Hamad; Alhamed, Khalid; Alabdan, Rana; Almutairi, Abdulrazaq Alsuhail; Almotairi, Sultan

doi:10.1155/2021/5539904

Cited by 8 publications

(3 citation statements)

References 30 publications

(36 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These indices are beneficial for the better study of properties of many chemical molecules. Lots of research have been conducted on topological indices of different classes of graphs like line graph, chemical molecular, nanotubes, nanotories and face-connected cube lattice [3,4]. A topological index is a Mathematical formula that can be applied to any graph which models some molecular structure.…”

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials

Hasan Mahmood

2024

pst

View full text Add to dashboard Cite

In this article, we go beyond earlier limits in the analysis by using algebraic polynomials to compute the topological indices for hexagonal cage networks. We investigate hexagonal cage networks of different orders and copies by introducing M-Polynomials and Forgotten polynomials, and we derive novel closed formulae and conclusions for a broad range of topological indices. We also create an efficient technique to compute , a pivotal polynomial, as part of our work. In addition to computing, we apply algebraic polynomials to the analysis of these indices, providing more insights into their structural significance in hexagonal cage networks. This work illuminates the algebraic underpinnings of these intricate networks and broadens the scope of topological index computation, with implications for a variety of scientific domains. These polynomials allow us to calculate several features of the network, such as the first and second Zagreb, modified Zagreb, General Randić, inverse General Randić, harmonic, symmetric division, inverse sum, and so on. There are now new closed formulae and outcomes available. Additionally, we offer a technique for calculating the polynomial . We also use algebraic polynomials to analyses all of the aforementioned indices.

show abstract

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials

Hasan Mahmood

2024

pst

View full text Add to dashboard Cite

show abstract

“…We adopted techniques as used in [25][26][27][28][29][30] for edges and vertex partition. We admits subdivision technique for the desired network S(η ζ Γ).…”

Section: Methodsmentioning

confidence: 99%

Study of Transformed ηζ Networks via Zagreb Connection Indices

et al. 2022

Self Cite

View full text Add to dashboard Cite

A graph is a tool for designing a system’s required interconnection network. The topology of such networks determines their compatibility. For the first time, in this work we construct subdivided ηζ network S(ηζΓ) and discussed their topology. In graph theory, there are a variety of invariants to study the topology of a network, but topological indices are designed in such a way that these may transform the graph into a numeric value. In this work, we study S(ηζΓ) via Zagreb connection indices. Due to their predictive potential for enthalpy, entropy, and acentric factor, these indices gain value in the field of chemical graph theory in a very short time. ηζΓ formed by ζ time repeated process which consists ηζ copies of graph Γ along with η2|V(Γ)|ζηζ−1 edges which used to join these ηζ copies of Γ. The free hand to choose the initial graph Γ for desired network S(ηζΓ) and its relation with chemical networks along with the repute of Zagreb connection indices enhance the worth of this study. These computations are theoretically innovative and aid topological characterization of S(ηζΓ).

show abstract

“…Asif et al [20] computed modified Zagreb connection indices of nanocones

{italicCNC}_{4} (n)

{italicCNC}_{5} (n)

, and

{italicCNC}_{6} (n)

and generalized the findings up to a large class of

{italicCNC}_{k} (n)

. Wei et al [21] computed edge‐version atom‐bond connectivity (ABC) and geometric arithmetic indices for nanocones

{italicCNC}_{k} (n)

.…”

Section: Introductionmentioning

confidence: 99%

Structural investigation of carbon nanocone through topological coindices

Shanmukha¹,

Usha

Shilpa³

et al. 2023

Int J of Quantum Chemistry

View full text Add to dashboard Cite

Topological descriptors play a significant role in the selection of leading molecules for studies/drug design/research. As these descriptors equip the quantitative structureactivity relationship (QSAR) models with the physical and chemical properties of the compound, they have become alternative for traditional methods of screening the chemical libraries which is expensive and time consuming. The practicality of these descriptors in QSAR models have been largely demonstrated in the studies by various researchers globally. This study focuses on the chemical compound, carbon nanocone, for which nine degree based topological coindices are determined for), Forgotten coindex (F), Atom bond connectivity coindex (ABC), Geometric arithmetic coindex (GA), Sombor coindex (SO), SS coindex (SS). Accordingly, the structure of the nanocone is considered for k ¼ 4, 5, 6, and 7 for which numerical comparison is tabulated with respect to the graphs to understand the behavior of the coindices.

show abstract

Study of Carbon Nanocones ${CNC}_{k} (n)$

Cited by 8 publications

References 30 publications

Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials

Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials

Study of Transformed ηζ Networks via Zagreb Connection Indices

Structural investigation of carbon nanocone through topological coindices

Contact Info

Product

Resources

About

Study of Carbon Nanocones CNC k n

Cited by 8 publications

References 30 publications

Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials

Topological Invariants of Hexagonal Cage Network by Using Algebraic Polynomials

Study of Transformed ηζ Networks via Zagreb Connection Indices

Structural investigation of carbon nanocone through topological coindices

Contact Info

Product

Resources

About

Study of Carbon Nanocones ${CNC}_{k} (n)$