Topological aspects of boron triangular nanotube and boron-$$\alpha$$ nanotube. II.(English)Zbl 1488.05120

Summary: Graph indices have attracted great interest as they give us numerical clues for several properties of molecules. Some indices give valuable information on the molecules under consideration using mathematical calculations only. For these reasons, the calculation and properties of graph indices have been in the center of research. Naturally, the values taken by a graph index is an important problem called the inverse problem. It requires knowledge about the existence of a graph having index equal to a given number. A considerable amount of topological graph indices are the degree based ones. Probably the largest degree based class of graph indices is Zagreb indices and Randić index is one of the most famous topological graph indices. There are several variants of them. In this paper, we compute the sum connectivity index, Randić index, reciprocal Randić index, reduced second Zagreb index, reduced reciprocal Randić index, first and second Gourava indices of boron nanotubes.
For Part I see [P. S. Hemavathi et al., Vladikavkaz. Mat. Zh. 22, No. 1, 66–77 (2020; Zbl 1463.05088)].

MSC:

 05C09 Graphical indices (Wiener index, Zagreb index, Randić index, etc.) 05C92 Chemical graph theory 05C07 Vertex degrees 05C05 Trees 05C12 Distance in graphs 05C75 Structural characterization of families of graphs 92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)

Zbl 1463.05088
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