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Masoud Ghods

Publications and source records attributed to Masoud Ghods.

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Sombor indices of Silicon Carbide Graphs

Using inequalities is a good way of studying topological indices. Chemical graph theory is one of the nontrivial applications of graph theory. In this paper, we examine and calculate another degree-based topological index for silicon-carbide structures. The Sombor index, which is a degree-based index, was introduced by Gutman in late 2020. In this paper, we first calculate and compare the Sombor index, then the decreasing Sombor index, and finally the mean Sombor index for a group of silicon-carbide structures.

math.GM

Correction of a theorem in the Wiener index on fuzzy graphs

In an article entitled The Counterexample of a theorem in Wiener index of a fuzzy graph and application to illegal immigration networks, we have shown a few examples of incorrect proof of a theorem in the Wiener index. Now, in this article, we will prove it by correcting the desired theorem. We have also used the same method as the author to prove it. There are other methods of proof.

math.GM