Browsing by Author "Atapour, Maryam"

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Certain Types of Minimum Covering Estrada Index of Graphs
(World Scientific Publ Co Pte Ltd, 2023) Shooshtari, Hajar; Atapour, Maryam; Cancan, Murat
Let G be a simple, finite, undirected graph with n vertices. The main purpose of this paper introduces the concepts of the minimum covering Gutman Estrada index, the minimum covering Seidel Estrada index, the minimum covering distance Estrada index, the minimum covering Randic Estrada index, the minimum covering Harary Estrada index, and the minimum covering color Estrada index of a graph. First, we compute the new concepts for some of the graphs, such as cocktail party, star, crown, complete and complete bipartite. Moreover, we establish upper and lower bounds for the new concepts.
The Expected Values of Augmented Zagreb and Arithmetic-Geometric Indices in Random Polyphenyl Chains
(Taylor & Francis Ltd, 2023) Kashkooly, Ali Iloon; Atapour, Maryam; Cancan, Murat
Polyphenyls and their derivatives, which are used in heat exchangers, drug synthesis, organic synthesis, and so on, have attracted the attention of researchers in various fields for many years. In this paper, we determine the expected values of the augmented Zagreb and arithmetic-geometric indices for this class of conjugated hydrocarbons. The comparisons between the expected values of these indices concerning the random polyphenyl chains have been determined explicitly. The graphical illustrations have been given in terms of the differences between the expected values of these indices.
On the Molecular Structure of Remdesivir Compound Applied for the Treatment of Corona Virus
(Taylor & Francis Ltd, 2024) Zhang, Lei; Wang, Yong; Atapour, Maryam; Zuo, Xuewu; Cancan, Murat
Coronavirus is a family of viruses that cause upper respiratory infections in humans. Drug properties can be obtained by studying the molecular structure of corresponding drugs. The calculation of the topological index of a drug structure enables scientists to have a better understanding of the physical chemistry and biological characteristics of drugs. In this paper, we study topological indices and find the exact formulas for general topological indices mSO gamma(G) and KA(gamma,eta)1(G). By the appropriate choice of parameters gamma and eta, several new/old inequalities that reveal topological indices are obtained.