On the Studies of Dendrimers via Connection-Based Molecular Descriptors

Sattar, Aqsa; Javaid, Muhammad; Alam, Md. Nur

doi:10.1155/2022/1053484

Cited by 17 publications

(6 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further, Liu et al [25] found the topological properties of neural networks. Recently, Sattar et al [26][27][28] worked on computing the general expression of ZIs for two types of dendrimers. For the other terminologies not discussed in this paper, the readers are referred to [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Topological Aspects of Dendrimers via Connection-Based Descriptors

Javaid¹,

Alamer²,

Sattar³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

Topological indices (TIs) have been practiced for distinct wide-ranging physicochemical applications, especially used to characterize and model the chemical structures of various molecular compounds such as dendrimers, nanotubes and neural networks with respect to their certain properties such as solubility, chemical stability and low cytotoxicity. Dendrimers are prolonged artificially synthesized or amalgamated natural macromolecules with a sequential layer of branches enclosing a central core. A present-day trend in mathematical and computational chemistry is the characterization of molecular structure by applying topological approaches, including numerical graph invariants. Among topological descriptors, Zagreb connection indices (ZCIs) have much importance. This manuscript involves the establishment of general results to calculate ZCIs, namely first ZCI (FZCI), second ZCI (SZCI), third ZCI (TZCI), modified FZCI, modified SZCI and modified TZCI of two special types of dendrimers nanostars, namely, poly propylene imine octamin (PPIO) dendrimer and poly (propyl) ether imine (PPEtIm) dendrimer. Furthermore, we provide the numerical and graphical comparative analysis of our calculated results for both types of dendrimers with each other.

show abstract

Section: Introductionmentioning

confidence: 99%

Topological Aspects of Dendrimers via Connection-Based Descriptors

Javaid¹,

Alamer²,

Sattar³

2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…Computation of entropy measures and valency-based indices of networks are discussed in [24] and [25]. The results of connection based such indices of networks are given in [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Properties of Graph Based on Divisor-Euler Functions

Rehman,

Mehmood

2023

Sci Inquiry Rev.

View full text Add to dashboard Cite

Divisor function gives the residues of which divide it. A function denoted by counts the total possible divisors of and gives the list of co-prime integers to . Many graphs had been constructed over these arithmetic functions. Using and , a well known graph named as divisor Euler function graph has been constructed. In this paper, we use divisor function and anti Euler function . We label the symbol to count those residues of which are not co-prime to . By using these functions, we find a new graph, called divisor anti-Euler function graph (DAEFG), denoted as . Let be a DAEFG, where and . The objective of this sequel is to introduce and discuss the properties of DAEFG. In this work, we discuss novel classes of proposed graph with its structure using loops, cycles, components of graph, degree of its vertices, components as complete, bipartite, planar, Hamiltonian and Eulerian graphs. Also, we find chromatic number, chromatic index and clique of these graphs.

show abstract

“…Cao et al [23] computed ZCIs of molecular graphs. Sattar et al [24][25][26] just discovered the CBZIs of dendrimer nanostars. Further, Ali et al [27] estimated modified CBZIs for T-sum graphs in 2020.…”

Section: Introductionmentioning

confidence: 99%

Topological Aspects of Molecular Networks: Crystal Cubic Carbons

Javaid

Sattar

Bonyah³

2022

Complexity

Self Cite

View full text Add to dashboard Cite

Theory of networks serves as a mathematical foundation for the construction and modeling of chemical structures and complicated networks. In particular, chemical networking theory has a wide range of utilizations in the study of chemical structures, where examination and manipulation of chemical structural information are made feasible by utilizing the numerical graph invariants. A network invariant or a topological index (TI) is a numerical measure of a chemical compound which is capable to describe the chemical structural properties such as melting point, freezing point, density, pressure, tension, and temperature of chemical compounds. Wiener initiated the first distance-based TI which is considered to be the most important TI to preserve the chemical and physical properties of chemical structures. Later on, degree-based TI was introduced to find the π -electron energy of molecules. Recently, connection number-based TIs are studied which are more efficient than degree and distance-based TIs. In this paper, we compute the connection number-based TIs of the structure of crystal cubic carbons which are one of the most significant and interesting composites in modern resources of science due to the involvement of carbon atoms.

show abstract

On the Studies of Dendrimers via Connection-Based Molecular Descriptors

Cited by 17 publications

References 23 publications

Topological Aspects of Dendrimers via Connection-Based Descriptors

Topological Aspects of Dendrimers via Connection-Based Descriptors

Properties of Graph Based on Divisor-Euler Functions

Topological Aspects of Molecular Networks: Crystal Cubic Carbons

Contact Info

Product

Resources

About