Browsing by Author "Shooshtari, H."

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On the Topological Indices and Graph Operation
(World Scientific, 2025) Shooshtari, H.; Sheikholeslami, S.M.; Cancan, M.
As we know that some chemically interesting graphs can be obtained by different graph operations on some general or particular graphs, it is important to study such graph operations in order to understand how it is related to the corresponding topological indices of the original graphs. In [A. Miličević, A. Nikolić and S. Trinajstić, On reformulated Zagreb indices, Mol. Divers. 8 (2004) 393–399], authors defined two new variants of Corona product and investigated some topological indices. In this paper, we extended the work and found the formulas of the F-index, hyper-Zagreb index, and Sigma index for double join of graphs based on the total graph and double corona of graphs based on the total graph. Moreover, some applications of the derived results are also discussed. © 2025 World Scientific Publishing Company.
New Bounds for Spectral Radius and the Geometric-Arithmetic Energy of Graphs
(Boletim da Sociedade Paranaense de Matematica, 2025) Shooshtari, H.; Cancan, M.
In this paper, new bounds on the GA-energy of graphs are established. Moreover, we show that our bounds are stronger than some previously known lower and upper bounds in the literature. © Soc. Paran. de Mat.