Valency-Based Indices for Some Succinct Drugs by Using M-Polynomial

Abstract

A topological index, which is a number, is connected to a graph. It is often used in chemometrics, biomedicine, and bioinformatics to anticipate various physicochemical properties and biological activities of compounds. The purpose of this article is to encourage original research focused on topological graph indices for the drugs azacitidine, decitabine, and guadecitabine as well as an investigation of the genesis of symmetry in actual networks. Symmetry is a universal phenomenon that applies nature’s conservation rules to complicated systems. Although symmetry is a ubiquitous structural characteristic of complex networks, it has only been seldom examined in real-world networks. The M¯-polynomial, one of these polynomials, is used to create a number of degree-based topological coindices. Patients with higher-risk myelodysplastic syndromes, chronic myelomonocytic leukemia, and acute myeloid leukemia who are not candidates for intense regimens, such as induction chemotherapy, are treated with these hypomethylating drugs. Examples of these drugs are decitabine (5-aza-20-deoxycytidine), guadecitabine, and azacitidine. The M¯-polynomial is used in this study to construct a variety of coindices for the three brief medicines that are suggested. New cancer therapies could be developed using indice knowledge, specifically the first Zagreb index, second Zagreb index, F-index, reformulated Zagreb index, modified Zagreb, symmetric division index, inverse sum index, harmonic index, and augmented Zagreb index for the drugs azacitidine, decitabine, and guadecitabine.

Comparative Study of Molecular Descriptors of Pent-Heptagonal Nanostructures Using Neighborhood M-Polynomial Approach

“…A topological descriptor is an illustration of a molecular descriptor. There are several topological indices available today, some of which are used in chemistry [ 8 , 20 ]. The structural characteristics of the graphs utilized for their computation can be used to categorize them.…”

“…In the context of M-polynomial, a good amount of study has been conducted, as in the case of Munir et al, who processed M-polynomial and associated lists of triangular boron nanotubes, polyhex nanotubes, nanostar dendrimers and titania nanotubes to name a few [ 19 , 20 , 21 ]. Numerous studies on the neighborhood degree-based topological index have also been done in recent times.…”

Topological Properties and Entropy Calculations of Aluminophosphates

“…used to predict the properties of these materials. They are often an addition to calculations using quantum chemistry that need a deal of computing [18][19][20][21][22][23]. There is a wide range of indices that can be used in research to understand the relationships between structure and properties .…”

Some New Bounds on the Modified Symmetric Division Deg Index

“…Topological indices are of interest because of their application in chemistry studies of the QSPR/QSAR [5,13]. Numerous of these topological indices are based on vertices' degrees of nanocones CN C K [n] [8], nanostar dendrimers [16,18], titania nanotubes [23], network [17,19], silicate carbide Si 2 C 3 − I[p, q] [3], diphenylene graph [26], succinct drug [9], aluminophosphates [28], bistar and coronal product [12], line graph of dendrimer [20], Metal organic-frameworks [21] and many more.…”