**Volume 3 (2021)**

**Volume 2 (2020)**

**Volume 1 (2019)**

# Author = Mohammad Reza Farahani
Number of Articles: 23

##### 1. Computational analysis of new degree-based descriptors of Zig-Zag Benzenoid system

*Volume 3, Issue 6 , June 2021, , Pages 418-424*

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**Abstract **

Chemical graph theory is one of the dominant branches in graph theory. In this paper, we compute the atom bond connectivity, geometric arithmetic, first K-Banhatti, second K-Banhatti, first K-hyper Banhatti, second K-hyper Banhatti, modified first K-Banhatti, modified second K-Banhatti and harmonic K-Banhatti ...
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##### 2. Degree-based entropy of molecular structure of HAC5C7[P,Q]

*Volume 3, Issue 5 , May 2021, , Pages 291-295*

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**Abstract **

This study aimed at using the calculated values of topological indices, degree weighted entropy of graph, the entropy measures are calculated viz., symmetric division index, inverse sum index atom-bond connectivity entropy and geometric arithmetic entropy for the nanotube HAC5C7[p,q].
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##### 3. Topological indices of the system of generalized prisms via M-Polynomial approach

*Volume 3, Issue 5 , May 2021, , Pages 296-300*

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**Abstract **

The characteristics of various networks can be distinguished with the help of topological indices. The purpose of this paper is to study the generalized prism network, which is very interesting for physics and engineering researchers. Regarding this network, we recovered some degree-based topological ...
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##### 4. Domination topological properties of some chemical structures using φp-polynomial approach

*Volume 3, Issue 4 , April 2021, , Pages 210-218*

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**Abstract **

φp -Polynomial is one way to represent a graph algebraically, and it has a major role in theoretical chemistry. It is used in the calculation of the exact values of many topological indices that depend on the P set degree. In this paper, we study the φp -Polynomial by using minimal and minimum ...
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##### 5. On the ψk-polynomial of graph

*Volume 3, Issue 4 , April 2021, , Pages 219-226*

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**Abstract **

In this paper, for every k-degree distance we define ψk-Polynomial of a connected graph G=(V,E) as where ψk(i,j) is the number of edges uv in G such that {dk(v), dk(u)}={i,j} and dk(v), dk(u) are the kth degree distance of v and u, and δk, ∆k are the minimum and maximum kth distance ...
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##### 6. Degree based topological indices of tadpole graph via M-polynomial

*Volume 3, Issue 3 , March 2021, , Pages 146-153*

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**Abstract **

Chemical graph theory has an important impact on the development of the chemical sciences. A chemical graph is a graph that is produced from some molecular structure by applying some graphical operations. The demonstration of chemical compounds and chemical networks with the M-polynomials is a revolution ...
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##### 7. Theoretical study of benzene ring embedded in P-type surface in 2d network using some new degree based topological indices via M-polynomial

*Volume 3, Issue 3 , March 2021, , Pages 180-186*

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**Abstract **

Algebraic polynomials play an important role in theoretical chemistry because these can reflect the properties of the chemical compound. M-polynomial is also an algebraic polynomial that is used to find the expressions of several degree dependent topological indices. These topological indices have the ...
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##### 8. Computing M-polynomial and topological indices of TUHRC4 molecular graph

*Volume 3, Issue 2 , February 2021, , Pages 103-109*

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**Abstract **

Chemical graph theory has an important role in the development of chemical sciences. A graph is produced from certain molecular structure by means of applying several graphical operations. The local graph parameter is valency, which is defined for every vertex as the number associates with other vertices ...
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##### 9. A note on QSPR analysis of total Zagreb and total Randić İndices of octanes

*Volume 3, Issue 2 , February 2021, , Pages 139-145*

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**Abstract **

Topological indices are important tools for QSPR researches. Wiener, Zagreb, and Randić indices are pioneers of topological indices as the most used topological indices in view of chemistry and chemical graph theory. These three topological indices have been used for modeling physical properties of ...
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##### 10. Weighted entropies of HAC5C7[p;q] nanotube

*Volume 3, Issue 1 , January 2021, , Pages 1-5*

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**Abstract **

The aim of this article was to compute weighted entropy of some well-known nanostructure HAC5C7[p;q]. We applied probability density function to formulate entropy by taking different topological indices as edge weights for example Zagreb indices, modified Zagreb indices, augmented Zagreb index and Randić ...
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##### 11. Weighted entropies of Tuc5c8[P;Q] nanotube with the degree based topological indices as weights

*Volume 3, Issue 1 , January 2021, , Pages 14-18*

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**Abstract **

The entropy of a graph is a function depending both on the graph itself and on a probability distribution on its vertex set. This graph function originated in the problem of source coding in information theory and was introduced by J. Krner in 1973. Although the notion of graph entropy has its roots ...
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##### 12. M-polynomial and degree-based topological indices and line graph of hex board graph

*Volume 2, Issue 12 , December 2020, , Pages 1156-1163*

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**Abstract **

A topological index (TI) is a positive real number associated with the graph of molecule and remains invariant up to graph isomorphism. Until now, several TIs are defined and there are mainly three types: Degree depending, distance depending and spectrum depending. All these TIs found huge applications ...
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##### 13. The first and second Zagreb polynomial and the forgotten polynomial of Cm×Cn

*Volume 2, Issue 12 , December 2020, , Pages 1183-1187*

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**Abstract **

In this paper, the 1st and 2nd Zagreb polynomials and the forgotten polynomial of Cm×Cn were computed. Some degree-based topological indices such as 1st and 2nd multiple Zagreb indices, Hyper Zagreb index and the forgotten index or F-index of the given networks were also computed. In addition, ...
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##### 14. Leap indices and their polynomials of the derived graph of the subdivision of certain polyphenyls

*Volume 2, Issue 12 , December 2020, , Pages 1195-1201*

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**Abstract **

Topological indices are real (numerical) values which are associated with chemical compositions to correlate with chemical structure with different physical properties, chemical and biological activities. In this article, we computed and compaed leap Zagreb indices and leap hyper-Zagreb indices of the ...
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##### 15. Degree-based topological descriptors of Star of David and Hexagonal Cage networks

*Volume 2, Issue 11 , November 2020, , Pages 1093-1100*

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**Abstract **

Topological indices are numerical parameters of a graph that characterize its molecular topology. In theoretical chemistry, the numerical parameters which are used to depict the molecular topology of graphs are called topological indices. Several physical and chemical properties like boiling point, entropy, ...
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##### 16. New degree-based topological descriptors via m-polynomial of boron α-nanotube

*Volume 2, Issue 11 , November 2020, , Pages 1117-1125*

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**Abstract **

The study of molecular structure having size less than 100 nm is called nanotechnology. Nano-materials have vast applications in different fields. Boron α-nanotube is very famous in Nano-science. In this article, we computed some important topological indices of this structure using their M-polynomial ...
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##### 17. Multiplicative degree-based topological indices and line graph of hex board graph

*Volume 2, Issue 11 , November 2020, , Pages 1137-1145*

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**Abstract **

Mathematical chemistry is the area of research in mathematics, in which problems of chemistry are solved by utilizing techniques of mathematics. In mathematical chemistry, a number is assigned to molecular graph of compound called topological index (TI) which depends on the topology of compound and helps ...
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##### 18. Computing metric and partition dimension of tessellation of plane by boron nanosheets

*Volume 2, Issue 10 , October 2020, , Pages 1064-1071*

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**Abstract **

Metric dimension dim(G) and portion dimension pd(G) are usually related as pd(G)≤dim(G)+1. However, if the partition dimension is significantly smaller than the metric dimension, then it is termed as discrepancy. This paper mainly deals with metric dimension and partition dimension of tessellation ...
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##### 19. Some topological descriptors and algebraic polynomials of Pm+FPm

*Volume 2, Issue 10 , October 2020, , Pages 1072-1081*

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**Abstract **

A topological index of G is a quantity related to G that characterizes its topology. Properties of the chemical compounds and topological invariants are related to each other. In this paper, we derive the algebraic polynomials including first and second Zagreb polynomials, and forgotten polynomial for ...
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##### 20. Ve-degree and Ev-degree topological analysis of some anticancer drugs

*Volume 2, Issue 8 , August 2020, , Pages 834-840*

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**Abstract **

Computing topological indices of drug structures provides the chemical information about the underlying topology of the drug’s structures. Novel anticancer drug studies have been conducting by researches to design and produce ideal drugs. Chemical properties of these new drug candidates investigated ...
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##### 21. On Van, r and s topological properties of the Sierpinski triangle networks

*Volume 2, Issue 7 , July 2020, , Pages 819-826*

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**Abstract **

A topological index-a numerical quantity derived from the graph of a chemical network-is used for modelling the mathematical, chemical and physical properties of these networks and chemicals. The topological properties of the Sierpinski triangle has been newly studied in chemical graph theory. In this ...
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##### 22. The eccentric connectivity index of polycyclic aromatic hydrocarbons (PAHs)

*Volume 2, Issue 6 , June 2020, , Pages 646-651*

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**Abstract **

Mathematical chemistry is the area of research engaged in new application of Mathematics in Chemistry. Major areas of research in mathematical chemistry include chemical graph theory. Chemical graph theory applies graph theory to mathematical modeling of chemical phenomena. If G=(V(G),E(G)) is a connected ...
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##### 23. Computation of bond incident degree (BID) indices of complex structures in drugs

*Volume 2, Issue 6 , June 2020, , Pages 672-679*