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Research Article

TOPOLOGICAL ASPECTS OF BORON TRIANGULAR NANOTUBE AND BORON-$\alpha$ NANOTUBE-II

Y
Y. Shanthakumari Department of Studies in Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari - 583105, INDIA
P
P. Siva Kota Reddy Department of Mathematics, JSS Science and Technology University, Mysuru - 570006, INDIA
V
V. Lokesha Department of Studies in Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari - 583105, INDIA
P
P. S. Hemavathi Department of Mathematics, Siddaganga Institute of Technology, Tumkur - 572103, INDIA
Volume 16, Issue 3 Pages 145-156 December 30, 2020 289 downloads
Article overview

Abstract

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 Randi$\acute{c}$ 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, Randi$\acute{c}$ index, reciprocal Randi$\acute{c}$ index, reduced second Zagreb index, reduced reciprocal Randi$\acute{c}$ index, first and second Gourava indices of boron nanotubes.

Keywords and Phrases

Topological indicesSum connectivity indexRandi$\acute{c}$ indexReciprocal Randi$\acute{c}$ indexReduced second Zagreb indexReduced reciprocal Randi$\acute{c}$ indexFirst and second Gourava indicesBoron triangularBoron-$\alpha$ nanotubes.

AMS Subject Classification

05C05, 05C12, 05C75.

Reference information

How to Cite

Y. Shanthakumari, P. Siva Kota Reddy, V. Lokesha, P. S. Hemavathi (2020). TOPOLOGICAL ASPECTS OF BORON TRIANGULAR NANOTUBE AND BORON-$\alpha$ NANOTUBE-II. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 145-156.
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