Browsing by Author "Turkan, Erkan Murat"

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Citation - WoS: 4
Citation - Scopus: 4
Computation of Vertex-Based Topological Indices of Middle Graph of Alkane (Cth2t+2)
(Wiley, 2022) Jarad, Fahd; Ali, Muhammad Asad; Turkan, Erkan Murat; Danish, Muhammad; Sardar, Muhammad Shoaib; Siddique, Imran
Alkanes are the primary constituents of methane or natural gas that can also be found in volcanic crust. As a result of methane as a heat source, humans may cook without using any fuel in a volcanic environment. Propane which is an alkane derivative is safer alternative to methane and is commonly present in gas cooking fuel, as well as a tiny amount of gasoline and matches. The primary ingredient in automobile especially gasoline is also alkane in the form of octane. Topological indices are largely applied in chemistry to improve the quantitative structure relationship in which the properties of the molecules can be linked with their chemical structures. In this research work, we will calculate the certain well-known topological indices of the middle graph of alkane based on vertex degree and also present a numerical and graphical comparison of computed topological indices.
Implications of the Index of a Fixed Point Subgroup
(C E D A M Spa Casa Editr Dott Antonio Milani, 2019) Turkan, Erkan Murat
Let G be a finite group and A <= Aut(G). The index vertical bar G:C-G(A)vertical bar is called the index of A in G and is denoted by Ind(G)(A). In this paper, we study the influence of Ind(G)(A) on the structure of G and prove that [G, A] is solvable in case where A is cyclic, Ind G(A) is squarefree and the orders of G and A are coprime. Moreover, for arbitrary A <= Aut(G) whose order is coprime to the order of G, we show that when [G, A] is solvable, the Fitting height of [G, A] is bounded above by the number of primes (counted with multiplicities) dividing Ind(G)(A) and this bound is best possible.
A Symbolic Approach To Multiple Hurwitz Zeta Values at Non-Positive Integers
(de Gruyter Poland Sp Z O O, 2023) Jarad, Fahd; Adjabi, Yacine; Turkan, Erkan Murat; Sadaoui, Boualem
In this article, we give another method to calculate the values of multiple Hurwitz zeta function at non-positive integers by means of Raabe's formula and the Bernoulli numbers and we simplify these values by symbolic computation techniques.