Browsing by Author "Jahanbani, Akbar"

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Extremal Trees for the Exponential of Forgotten Topological Index
(Hindawi Ltd, 2022) Jahanbani, Akbar; Cancan, Murat; Motamedi, Ruhollah
Let F be the forgotten topological index of a graph G. The exponential of the forgotten topological index is defined as e(F)(G) = sigma((x,y)is an element of S)t(x,y)(G)e((x2+y2)), where t(x,y)(G) is the number of edges joining vertices of degree x and y. Let T-n be the set of trees with n vertices; then, in this paper, we will show that the path P-n has the minimum value for e(F) over T-n.
On Molecular Descriptors of Polycyclic Aromatic Hydrocarbon
(Taylor & Francis Ltd, 2024) Zuo, Xuewu; Jahanbani, Akbar; Cancan, Murat
A variety of graphical invariants have been described and tested, offering lots of applications in the fields of nanochemistry, computational networks, and different scientific research areas. One commonly studied group of invariants is the topological index, which allows research on the chemical, biological, and physical properties of a chemical structure. Topological indices are numerical quantities that can be used to describe the properties of the molecular graph. In this article, we draw from the analytically closed formulas of molecular structures of polycyclic aromatic hydrocarbons by calculating temperature-based topological indices. Our results in this paper may be useful to better understand many physical and chemical properties of polycyclic aromatic hydrocarbons.
On the Expected Values of Topological Indices in Random Phenylene Chains
(Taylor & Francis Ltd, 2024) Wang, Xiaojiao; Zuo, Xuewu; Jahanbani, Akbar; Cancan, Murat
The phenylenes exhibit unique physicochemical properties due to their aromatic and antiaromatic rings. The main object of this paper is to determine the expected values of the arithmetic-geometric and augmented Zagreb indices for random phenylene chains. The comparisons between the expected values of these indices with respect to the random phenylene chains have been determined explicitly. The graphical illustrations have been given in terms of the differences between the expected values of these indices.
Retracted: on the Temperature Indices of Molecular Structures of Some Networks (Retracted Article)
(Wiley, 2022) Jahanbani, Akbar; Khoeilar, Rana; Cancan, Murat
The topological index is a molecular predictor that is commonly supported in the research of QSAR of pharmaceuticals to numerically quantify their molecular features. Theoretical and statistical study of drug-like compounds improves the drug design and finding work-flow by rationalizing lead detection, instant decision, and mechanism of action comprehension. Using molecular structure characterization and edge segmentation technique, we computed the general temperature topological indices for OTIS networks.
The Sigma Index of Graph Operations
(Yildiz Technical Univ, 2019) Jahanbani, Akbar; Ediz, Suleyman
Let G be a graph of order n with vertices labeled as nu(1), nu(2),., nu(n). Let di be the degree of the vertex nu i, for i = 1, 2,., n. The sigma index, which have been defined very recently, of G is sigma(G) = Sigma(vivj epsilon E(G))(d(i) - d(j))(2). In this paper, the sigma index of the Cartesian product, composition, join and disjunction of graphs are computed. We apply some of our results to compute the sigma index of some special graph classes.