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Chemical characteristics of molecules are closely related to their structures. Molecular structures have been studied by the topological indices for the last forty years. The degreebased topological indices are the most studied and commonly used topological indices, which play a significant role in characterizing molecular structures. Dendrimers have been used in cancer therapy for the last few years. This research focused on calculating the different versions of the Zagreb index and the Randić index of two well-known dendrimers which are used in cancer therapy.

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In this paper, a new kind of closed sets called generalized semi open-closed sets (briefly gso-closed sets) are introduced in topological spaces. A subset A of a topological space X is called a gsoclosed set if A is both a g-closed set and a semi-open set in X. The properties of the gso-closed sets are investigated and they are compared with the existing relevant generalized closed sets. The generalized semi-open continuous function between topological spaces are also defined and their properties are investigated.