Browsing by Author "Tas, Ziyattin"

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Construction of Petersen Graph Via Graph Product and Correlation of Topological Descriptors of Petersen Graph in Terms of Cyclic Graph C5
(Taylor & Francis Ltd, 2022) Waheed, Muhammad; Saleem, Umair; Cancan, Murat; Tas, Ziyattin; Alaeiyan, Mehdi; Farahani, Mohammad Reza
Graph product yields a new structure from two initial given structures. The computation of topological indices for these sophisticated structures using the graph product is a critical endeavor. Petersen graph is a structure which consists of ten vertices and fif teen edges. It is commonly used as a counter example to graph theory conjectures. In this paper, we generate simple Petersen graph by using graph product and then explicit expressions of the first and second Zagreb indices, forgotten topological index, first hyper and first reformulated Zagreb index, reduced second Zagreb index and Y-index of the Peterson graph in terms of cyclic graph C-5 are computed.
A Note on Qspr Analysis of Total Zagreb and Total Randic Indices of Octanes
(Sami Publishing Co-spc, 2021) Ediza, Suleyman; Ciftci, Idris; Tas, Ziyattin; Cancan, Murat; Farahani, Mohammad Reza; Aldemir, Mehmet Serif
Topological indices are important tools for QSPR researches. Wiener, Zagreb, and Randic 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 octanes and other chemical molecules. We firstly define k-total distance degree notion, k-total Zagreb and k-total Randic indices in graph theory. We investigated the prediction power of 3-total Zagreb indices and 3-total Randic index by using some physical properties of octanes such as entropy, acentric factor, enthalpy of vaporizatian and standard enthalpy of vaporization. We showed that these 3-total distance degree based novel indices are possible tools for QSPR studies, which they give a reasonably good correlation greater than 0.92 for modeling acentric factor of octanes. We also showed that 3-total indices give a strong correlation with Wiener index and the second Zagreb index.
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].
On Some Ve-Degree and Harmonic Molecular Topological Properties of Carborundum
(Koya Univ, 2020) Cancan, Murat; Yamac, Kerem; Tas, Ziyattin; Aldemir, Mehmet Serif
Carborundum, also known as silicon carbide which containing carbon and silicon, is a semiconductor. Molecular topological properties of physical substances are important tools to investigate the underlying topology of these substances. Ev-degree and ve-degree based on the molecular topological indices have been defined as parallel to their corresponding classical degree based topological indices in chemical graph theory. Classical degree based topological properties of carborundum have been investigated recently. As a continuation of these studies, in this study, we compute novel ve-degree harmonic, ve-degree sum-connectivity, ve-degree geometric-arithmetic, and ve-degree atom-bond connectivity, the first and the fifth harmonic molecular topological indices of two carborundum structures.
Sharp Upper Bounds on Forgotten and Sk Indices of Cactus Graph
(Taru Publications, 2023) Alsinai, Ammar; Rehman, Hafiz Mutee ur; Manzoor, Yasir; Cancan, Murat; Tas, Ziyattin
Sheehalli and Kanabur presented new forms of topological indices known as SK indices which have many applications in chemical graph theory towards QSPR/QSAR. A simple connected graph Gamma is called a cactus graph if and only if any two cycles in the graph have no common edge. In this paper, we will explore and determine the sharp upper bounds of cactus graph using different versions of SK indices. We will also characterize the extremal properties for these indices due to many applications in pharmacology and medicinal chemistry.
The Study of the B-Choromatic Number of Some Classes of Fractal Graphs
(Taru Publications, 2022) Sattar, Tayyiba; Sardar, Muhammad Shoaib; Alaeiyan, Mehdi; Farahani, Moahmmad Reza; Cancan, Murat; Tas, Ziyattin
In graph coloring, labels are assigned to graph elements according to certain constraints. Colors are a special case of graph labeling as well as in practical applications, graph coloring also poses some theoretical challenges. A topic related to graph coloring will be discussed in this study, i.e., b-chromatic number. In proper coloring, edges, vertices, or both of them are colored so that they are distinct from one another. A b-coloring of m colors of a graph G is similar to proper coloring in which at least one vertex from each color class is connected to (m-1) other colors. The b-chromatic number of a graph G is the greatest positive number k such that G admits a b-coloring with k colors and is represented by phi(G). Fractals are geometric objects that are self-similar at multiple scales and their geometric measurements are different from fractal measurements. In this paper, we will evaluate the b-chromatic number of Fractal type graphs, i.e., Sierpinski network S(n; Kk) (where Kk is a complete graph of order k) and Sierpinski gasket network S(n). Firstly, we will compute the b-chromatic number of S(n; K3), S(n; K4) and S(n; K5) for n >= 2. After that, we will generalize the result for the Sierpinski network of complete graph Kk. In addition, we will also determine the b-choromatic number of Sierpinski gasket graph S(n). As an application, we will also determine the b-chromatic number of Sierpinski graph of house graph.
Valency Based Topological Descriptors of Para Line Graph of Remdesivir Used in the Prevention of Corona Virus
(Taylor & Francis Ltd, 2022) Rosary, Maria Singaraj; Haoer, Raad Sehen; Cancan, Murat; Tas, Ziyattin
Molecular descriptors explore the properties of graphs that endure constant after recurrent changing in graph. These indices aid us to forecast chemical combinations like entropy, enthalpy formation, area of surfaces and formation of heat. in structural chemistry para-line graphs are very popular. In this article, we present some valency based topological indices for the para line graph of Remdesivir.