Browsing by Author "Husin, Mohamad Nazri"

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Enumeration of Spanning Trees in a Chain of Diphenylene Graphs
(Taylor & Francis Ltd, 2022) Modabish, Abdulhafid; Husin, Mohamad Nazri; Alameri, Abdu Qaid; Ahmed, Hanan; Alaeiyan, Mehdi; Farahani, Mohammed Reza; Cancan, Murat
Cheminformatics is a modern field of chemistry information science and mathematics that is very much helpful in keeping the data and getting information about chemicals. A new two-dimensional carbon known as diphenylene was identified and synthesized. It is considered one of the materials that have many applications in most fields such as catalysis. The number of spanning trees of a graph G, also known as the complexity of a graph G, denoted by tau(G), is an important, well-studied quantity in graph theory, and appears in a number of applications. In this paper, we introduce a new chemical compound that is a chain of diphenylene where any two diphenylene intersect by one edge. We derive two formulas for the number of spanning trees in a chain of diphenylene planar graphs that have connected intersection of one edge but where the diphenylenes have same sizes.
M-Polynomials and Degree-Based Topological Indices of Tadpole Graph
(Taylor & Francis Ltd, 2021) Chaudhry, Faryal; Husin, Mohamad Nazri; Afzal, Farkhanda; Afzal, Deeba; Cancan, Murat; Farahani, Mohammad Reza
Chemical graph theory is a branch of mathematical chemistry which has an important outcome on the development of the chemical sciences. A chemical graph is a graph which is produced from some molecular structure by applying some graphical operations. The demonstration of chemical compounds and chemical networks with M-polynomials is a new idea and the M-polynomial of different molecular structures supports us to calculate many topological indices. A topological index is a numeric quantity that describes the whole structure of a molecular graph of the chemical compound and supports to understand its physical features, chemical reactivates and boiling activities. In this paper, we compute M-polynomial and topological indices of tadpole graph, then we recover numerous topological indices using the M-polynomial.
On Computation of Newly Defined Degree-Based Topological Invariants of Bismuth Tri-Iodide Via M-Polynomial
(Taylor & Francis Ltd, 2021) Hameed, Saira; Husin, Mohamad Nazri; Afzal, Farkhanda; Hussain, Hina; Afzal, Deeba; Farahani, Mohammad Reza; Cancan, Murat
In this article, we recover many degree-based topological invariants using their formulas given in table [1] of Bismuth Tri-iodide by using its M-polynomial. The M-polynomial is a new phenomenon by which we can easily compute topological invariants of molecular graph. This is a very well-known fact that topological invariants play a key role in deciding chemical compound properties. Graphical analysis of the findings is also displayed.
On Sombor Indices of Line Graph of Silicate Carbide Si2c3-I[p,q]
(Taylor & Francis Ltd, 2022) Asif, Fatima; Zahid, Zohaib; Husin, Mohamad Nazri; Cancan, Murat; Tas, Ziyattin; Alaeiyan, Mehdi; Farahani, Moahmmad Reza
Topological indices are numerical parameters associated with underlying topology of a molecular structure. They are correlated with several physio-chemical properties of chemical compounds. Recently, Euclidean metric based topological index has been introduced named as Sombor index. Therefore, in this article, we will discuss combinatorial aspects and compute Sombor index, average Sombor index and the reduced Sombor index of line graph of silicate carbides Si2C3-I[p, q].