scholarly journals A Computational Approach on Acetaminophen Drug using Degree-Based Topological Indices and M-Polynomials

2021 ◽  
Vol 12 (6) ◽  
pp. 7249-7266
Keyword(s):  
Biological Activity ◽  
Physicochemical Properties ◽  
Chemical Structure ◽  
Topological Index ◽  
Chemical Reactivity ◽  
Chemical Compounds ◽  
Computational Approach ◽  
Topological Indices ◽  
Numerical Representation ◽  
Essential Drug

Topological index is a numerical representation of a chemical structure. Based on these indices, physicochemical properties, thermodynamic behavior, chemical reactivity, and biological activity of chemical compounds are calculated. Acetaminophen is an essential drug to prevent/treat various types of viral fever, including malaria, flu, dengue, SARS, and even COVID-19. This paper computes the sum and multiplicative version of various topological indices such as General Zagreb, General Randić, General OGA, AG, ISI, SDD, Forgotten indices M-polynomials of Acetaminophen. To the best of our knowledge, for the Acetaminophen drugs, these indices have not been computed previously.

scholarly journals Topological Indices of mth Chain Silicate Graphs

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 42 ◽  
Author(s):  
Jia-Bao Liu ◽  
Muhammad Kashif Shafiq ◽  
Haidar Ali ◽  
Asim Naseem ◽  
Nayab Maryam ◽  
...  
Keyword(s):  
Biological Activity ◽  
Chemical Structure ◽  
Chemical Properties ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Numerical Representation ◽  
Topological Descriptor ◽  
Physico Chemical ◽  
Chain Silicate ◽  
Atom Bond

A topological index is a numerical representation of a chemical structure, while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity, and biological activity are determined by the chemical applications of graph theory. The biological activity of chemical compounds can be constructed by the help of topological indices such as atom-bond connectivity (ABC), Randić, and geometric arithmetic (GA). In this paper, Randić, atom bond connectivity (ABC), Zagreb, geometric arithmetic (GA), ABC4, and GA5 indices of the mth chain silicate S L ( m , n ) network are determined.

DISTANCE IN ZIGZAG POLYHEX NANOTORUS

2008 ◽  
Vol 07 (05) ◽  
pp. 1029-1039
Author(s):  
MEHDI ELIASI ◽  
BIJAN TAERI
Keyword(s):  
Biological Activity ◽  
Graph Theory ◽  
Physicochemical Properties ◽  
Chemical Structure ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Definition Of

Graph theory was successfully applied in developing a relationship between chemical structure and biological activity. The concept of distance in graphs is basic in the definition of various topological indices for chemical compounds, which determines some of the physicochemical properties of them. In this paper, we explain a method, using the concept of distance in the graph of zigzag polyhex nanotorus, which enables us to compute different topological indices simultaneously.

TOPOLOGICAL INDICES – WHY AND HOW

2021 ◽  
Author(s):  
Ivan Gutman ◽  
Keyword(s):  
Single Molecule ◽  
Chemical Structure ◽  
Chemical Reactivity ◽  
Chemical Species ◽  
Chemical Compounds ◽  
Simple Calculation ◽  
Topological Indices ◽  
High Level ◽  
Complex Phenomena ◽  
Real World Problems

By means of presently available high-level computational methods, based on quantum theory, it is possible to determine (predict) the main structural, electronic, energetic, geometric, and thermodynamic properties of a particular chemical species (usually a molecule), as well as the ways in which it changes in chemical reactions. When one needs to estimate such properties of thousands or millions of chemical species, such high-level calculations are no more feasible. Then simpler, but less accurate, approaches are necessary. One such approach utilized so-called “topological indices”. According to IUPAC ‘s definition [Pure Appl. Chem. 69 (1997) 1137]: A topological index is a numerical value associated with chemical constitution for correlation of chemical structure with various physical properties, chemical reactivity or biological activity. In the first part of the lecture, we show that „numerical values“are associated with many other complex phenomena, encountered in various areas of human activity, implying that „topological indices“ are used far beyond chemistry. Next, we discuss the number of possible chemical compounds. Simple calculation shows that the number of possible compounds zillion times exceeds the number of those that have been experimentally characterized. Even worse, in the entire Universe, there is not enough matter to make at least a single molecule of each possible compound. In the second part of the lecture, a few most popular topological indices will be presented, as well as the way in which these can be (and are being) applied in treating real-world problems.

scholarly journals Multiplicative Degree Based Topological Indices of Nanostar Dendrimers

2020 ◽  
Vol 11 (1) ◽  
pp. 7700-7711 ◽  
Keyword(s):  
Physicochemical Properties ◽  
Building Block ◽  
Boiling Point ◽  
Topological Index ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Pharmaceutical Sciences ◽  
Molecular Topology ◽  
Acentric Factor ◽  
Branched Nanostructures

A topological index is a numerical quantity connected with a graph describing the molecular topology of the graph. It can predict different physicochemical properties such as boiling point, entropy, acentric factor etc. of chemical compounds. Dendrimers are highly branched nanostructures that are regarded as a building block in nanotechnology having wide applications. In this paper, multiplicative degree-based topological indices are computed for some nanostar dendrimers. The derived results have the potential for implementation in the chemical, biological, and pharmaceutical sciences.

scholarly journals Irregularity Measures for Benzene Ring Embedded in P-Type Surface

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Yun Liu ◽  
Aysha Siddiqa ◽  
Yu-Ming Chu ◽  
Muhammad Azam ◽  
Muhammad Asim Raza Basra ◽  
...  
Keyword(s):  
Physicochemical Properties ◽  
Benzene Ring ◽  
Chemical Compound ◽  
Topological Index ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Single Number ◽  
P Type

A topological index is an important tool in predicting physicochemical properties of a chemical compound. Topological indices help us to assign a single number to a chemical compound. Drugs and other chemical compounds are frequently demonstrated as different polygonal shapes, trees, graphs, etc. In this paper, we will compute irregularity indices for the benzene ring embedded in a P-type surface BRp and the simple bounded dual of the benzene ring embedded in a P-type surface SBRp.

scholarly journals Computing SS Index of Certain Dendrimers

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Weidong Zhao ◽  
M.C. Shanmukha ◽  
A. Usha ◽  
Mohammad Reza Farahani ◽  
K.C. Shilpa
Keyword(s):  
Chemical Structure ◽  
Topological Index ◽  
Chemical Compounds ◽  
Biological Properties ◽  
Molar Refraction ◽  
Topological Indices ◽  
Zagreb Indices ◽  
Mathematical Properties ◽  
Chemical Graph Theory ◽  
Physico Chemical

The numerical descriptor gathers the data from the molecular graphs and helps to know the characteristics of the chemical structure known as topological index. The QSAR/QSPR/QSTR studies are benefited with the significant role played by topological indices in the drug design. Topological indices provide the information about the physical/chemical/biological properties of chemical compounds. The Zagreb indices are widely studied because of their extensive usage in chemical graph theory. Inspired by the earlier work on inverse sum indeg index (ISI index), novel topological index known as SS index is introduced and computed for four dendrimer structures. Also, the strong correlation coefficient between SS index and 5 physico-chemical characteristics such as boiling point (bp), molar volume (mv), molar refraction (mr), heats of vaporization (hv), and critical pressure (cp) of 67 alkane isomers have been determined. It is found that newly introduced index has shown good correlation in comparison with three most popular existing indices (ISI index and first and second Zagreb indices). In the last part, the mathematical properties of SS index are discussed.

scholarly journals M-Polynomials and Topological Indices of Dominating David Derived Networks

2018 ◽  
Vol 16 (1) ◽  
pp. 201-213 ◽  
Author(s):  
Shin Min Kang ◽  
Waqas Nazeer ◽  
Wei Gao ◽  
Deeba Afzal ◽  
Syeda Nausheen Gillani
Keyword(s):  
Biological Activity ◽  
Chemical Reactivity ◽  
Chemical Compounds ◽  
Strong Relationship ◽  
Topological Indices ◽  
Molecular Structures ◽  
Chemical Characteristics ◽  
Topological Properties ◽  
Zagreb Indices ◽  
Physical Features

AbstractThere is a strong relationship between the chemical characteristics of chemical compounds and their molecular structures. Topological indices are numerical values associated with the chemical molecular graphs that help to understand the physical features, chemical reactivity, and biological activity of chemical compound. Thus, the study of the topological indices is important. M-polynomial helps to recover many degree-based topological indices for example Zagreb indices, Randic index, symmetric division idex, inverse sum index etc. In this article we compute M-polynomials of dominating David derived networks of the first type, second type and third type of dimension n and find some topological properties by using these M-polynomials. The results are plotted using Maple to see the dependence of topological indices on the involved parameters.

scholarly journals Computation of Zagreb and atom-bond connectivity indices of certain families of dendrimers by using automorphism group action

2017 ◽  
Vol 82 (2) ◽  
pp. 151-162
Author(s):  
Uzma Ahmad ◽  
Sarfraz Ahmad ◽  
Rabia Yousaf
Keyword(s):  
Automorphism Group ◽  
Carbon Atom ◽  
Physicochemical Properties ◽  
Group Action ◽  
Chemical Compounds ◽  
Topological Indices ◽  
Zagreb Indices ◽  
Connectivity Indices ◽  
Atom Bond

In QSAR/QSPR studies, topological indices are utilized to predict the bioactivity of chemical compounds. In this paper, the closed forms of different Zagreb indices and atom?bond connectivity indices of regular dendrimers G[n] and H[n] in terms of a given parameter n are determined by using the automorphism group action. It was reported that these connectivity indices are correlated with some physicochemical properties and are used to measure the level of branching of the molecular carbon-atom skeleton.

scholarly journals Topological properties of Graphene using some novel neighborhood degree-based topological indices

2019 ◽  
Vol 11 (01) ◽  
pp. 1950006 ◽  
Author(s):  
Sourav Mondal ◽  
Nilanjan De ◽  
Anita Pal
Keyword(s):  
Real Number ◽  
Chemical Structure ◽  
Topological Index ◽  
Line Graph ◽  
Topological Indices ◽  
Index Formula ◽  
Topological Properties ◽  
Zagreb Index ◽  
Physiochemical Properties ◽  
Second Zagreb Index

Topological indices are numeric quantities that transform chemical structure to real number. Topological indices are used in QSAR/QSPR studies to correlate the bioactivity and physiochemical properties of molecule. In this paper, some newly designed neighborhood degree-based topological indices named as neighborhood Zagreb index ([Formula: see text]), neighborhood version of Forgotten topological index ([Formula: see text]), modified neighborhood version of Forgotten topological index ([Formula: see text]), neighborhood version of second Zagreb index ([Formula: see text]) and neighborhood version of hyper Zagreb index ([Formula: see text]) are obtained for Graphene and line graph of Graphene using subdivision idea. In addition, these indices are compared graphically with respect to their response for Graphene and line graph of subdivision of Graphene.

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