Browsing by Author "Aldemir, Mehmet Serif"

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Degree-Bad Topological Descriptors of Star of David and Hexagonal Cage Networks
(Sami Publishing Co-spc, 2020) Ali, Haidar; Shafiq, Muhammad Kashif; Farahani, Mohammad Reza; Cancan, Murat; Aldemir, Mehmet Serif
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, heat-formation and vaporization enthalpy of chemical compounds can be determined through these topological indices. Graph theory has a considerable use in evaluating the relation for various topological indices of some derived graphs. In this paper, we studied the general Randic first Zagreb, ABC, GA, ABC(4) and GA(5), indices for the Star of David and Hexagonal Cage networks and provided closed formulas of these indices.
A Future Concern of Iterative Learning Control : A Survey
(Taru Publications, 2021) Riaz, Saleem; Hui, Lin; Aldemir, Mehmet Serif; Afzal, Farkhanda
The main idea of iterative learning control (ILC) was exposed when Arimoto's first paper was published. Industrial tasks mainly in repetition are controlled by an iterative teaching controller in both iteration and time-domain which makes ILC unique. ILC is becoming very popular among control engineers because of its very simple and effective control techniques. This paper describes the basic key knowledge about ILC and its types of applications. The core concern of this paper is to elaborate and explore the future scope and key application areas of iterative learning control in engineering as well as other all subjects of interest.
M-Polynomial and Degree-Based Topological Indices and Line Graph of Hex Board Graph
(Sami Publishing Co-spc, 2020) Amin, Shahid; Rehman, Muhammad Aziz Ur; Aldemir, Mehmet Serif; Cancan, Murat; Farahani, Mohammad Reza
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 in pharmacy, theoretical chemistry and especially in QSPR/QSAR research. The aim of our study was to compute degree depending TIs for Hex board graph and its line graph. We firstly computed M-polynomial and by applying calculus, we computed several degree-based topological indices of Hex board graph and its line graph.
Multiplicative Degree-Based Topological Indices and Line Graph of Hex Board Graph
(Sami Publishing Co-spc, 2020) Amin, Shahid; Rehman, Muhammad Aziz Ur; Farahani, Mohammad Reza; Cancan, Murat; Aldemir, Mehmet Serif
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 us in deciding properties of concerned compound. TIs usually depend on the degree of vertices in a graph, distances and spectrum, among which degree depending TIs are studied extensively in recent years and have led to huge applications in theoretical chemistry, drugs formulation and pharmacy. This paper aimed to compute some degree depending TIs of Hex board networks and line graph of hex board networks. The generalized first and second multiplicative Zagreb indices (ZIs), multiplicative version of Atomic bond connectivity index (ABC) and generalized multiplicative Geometric Arithmetic index (GA) of Hex board and the line graph of Hex board networks were computed in this study.
New Degree-Based Topological Descriptors Via M Polynomial of Boron Α-Nanotube
(Sami Publishing Co-spc, 2020) Afzal, Deeba; Hussain, Sabir; Aldemir, Mehmet Serif; Farahani, Mohammad Reza; Afzal, Farkhanda
The study of molecular structure having size less than 100 nm is called nanotechnology. Nano-materials have vast applications in different fields. Boron alpha-nanotube is very famous in Nano-science. In this article, we computed some important topological indices of this structure using their M-polynomial along with plotting the results.
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.
A Note on Stratified Domination and 2-Rainbow Domination in Graphs
(Natl inst Optoelectronics, 2011) Aldemir, Mehmet Serif; Ediz, Suleyman
In this paper relations between stratified domination and 2-rainbow domination in graphs are investigated. And we conjectured that these two parameters are equal or 2-rainbow domination number is greater than stratified domination number by one.
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.
Reduced Second Zagreb Index of Unicyclic Graphs
(Pushpa Publishing House, 2018) Aldemir, Mehmet Serif
Recently a novel degree based topological index, reduced second Zagreb index, defined for any connected graph as follows: RM2 = Sigma(uv is an element of E(G)) (d(u) - 1)(d(v) - 1) where d(u) and d(v) are the number of edges incident to the vertices u and v, respectively. We determine the minimum and maximum reduced second Zagreb index in the class of n-vertex unicyclic graphs and characterize the corresponding extremal graphs.
Some Topological Descriptors and Algebraic Polynomials of Pm+fpm
(Sami Publishing Co-spc, 2020) Baig, Abdul Qudair; Amin, Adnan; Farahani, Mohammad Reza; Imran, Muhammad; Cancan, Murat; Aldemir, Mehmet Serif
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 Pm+FPm. Further, we worked on the hyper-Zagreb, first and second multiple Zagreb indices, and forgotten index of these graphs. Consider the molecular graph with atoms to be taken as vertices and bonds can be shown by edges. For such graphs, we can determine the topological descriptors showing their bioactivity as well as their physiochemical characteristics. Moreover, we derive graphical representation of our outcomes, depicting the technical dependence of topological indices and polynomials on the involved structural parameters.
Weighted Entropy of Zig-Zag Chain
(Sami Publishing Co-spc, 2020) Afzal, Farkhanda; Razaq, Sidra; Razaq, Mehmoona Abdul; Cancan, Murat; Aldemir, Mehmet Serif
The entropy of a graph is a functional depending both on the graph itself and on a probability distribution on its vertex set. This graph functional originated from 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 in information theory, it was proved to be closely related to some classical and frequently studied graph theoretic concepts. In this article, we obtained the graph entropy with Randic, geometric-arithmetic, harmonic, first Zagreb, second Zagreb, atom bond connectivity, sum connectivity index and augmented Zagreb indices for Zig-Zag chain of 8-cycles molecular graph.