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

Shanthakumari, Y.; Reddy, P. Siva Kota; Lokesha, V.; Hemavathi, P. S.

South East Asian J. Math. Math. Sci. 16, No. 3, 145-156 (2020).

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.)

Keywords:

topological indices; sum connectivity index; Randić index; reciprocal Randić index; reduced second Zagreb index; reduced reciprocal Randić; first and second Gourava indices; boron triangular; boron-\( \alpha\) nanotubes

Citations:

Zbl 1463.05088

References:

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