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)].


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
Full Text: Link


[1] Gutman, I., Furtula, B. and Elphick, C., Three New / Old Vertex - Degree - Based Topological Indices, MATCH Commun. Math. Comput. Chem., 72 (2014), 617-632. · Zbl 1464.05076
[2] Hemavathi, P. S., Lokesha, V., Manjunath, M., Reddy, P. S. K. and Shruti, R., Topological Aspects Boron Triangular Nanotube and Boron-αNanotube, Vladikavkaz Math. J, 22(1) (2020), 66-77. · Zbl 1463.05088
[3] Kulli, V. R., The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics, 14(1) (2017), 33-38.
[4] Randi´c, M., On characterization of molecular branching, J. Am. Chem. Soc., 97 (1975), 6609-6615. · Zbl 0770.60091
[5] Zhou, B. and Trinajsti´c, N., On a novel connectivity index, J. Math. Chem., 46 (2009), 1252-1270 · Zbl 1197.92060
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.