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 Vladikavkaz. Mat. Zh., 2020, Volume 22, Number 1, Pages 66–77 (Mi vmj715)

Topological aspects boron triangular nanotube and boron-$\alpha$ nanotube

P. Sh. Hemavathia, V. Lokeshab, M. Manjunathb, P. S. K. Reddyc, R. Shrutib

a Siddaganga Institute of Technology, Tumkur 572 103, Karnataka, India
b Vijayanagara Sri Krishnadevaraya University, Ballari 583 105, Karnataka, India
c Sri Jayachamarajendra College of Engineering, JSS Science and Technology University, Mysuru 570 006, Karnataka, India

Abstract: Topological graph indices have been used in a lot of areas to study required properties of different objects such as atoms and molecules. Such indices have been described and studied by many mathematicians and chemists since most graphs are generated from molecules by replacing each atom with a vertex and each chemical bond with an edge. These indices are also topological graph invariants measuring several chemical, physical, biological, pharmacological, pharmaceutical, etc. properties of graphs corresponding to real life situations. The degree-based topological indices are used to correlate the physical and chemical properties of a molecule with its chemical structure. Boron nanotubular structures are high-interest materials due to the presence of multicenter bonds and have novel electronic properties. These materials have some important issues in nanodevice applications like mechanical and thermal stability. Therefore, they require theoretical studies on the other properties. In this paper, we compute the third Zagreb index, harmonic index, forgotten index, inverse sum index, modified Zagreb index and symmetric division deg index by applying subdivision and semi total point graph for boron triangular and boron-$\alpha$ nanotubes.

Key words: topological indices, Zagreb indices, harmonic index, forgotten index, inverse sum index and symmetric division deg index, boron triangular and boron-$\alpha$ nanotubes.

 Funding Agency Grant Number TEQIP Competitive Research Grant VTU/TEQIP 3/2019/321 The first author supported by the TEQIP Competitive Research Grant: VTU/TEQIP 3/2019/321 Dated 10th December 2019.

DOI: https://doi.org/10.23671/VNC.2020.1.57585

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UDC: 544.13
MSC: 05C05, 05C12, 05C75
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Citation: P. Sh. Hemavathi, V. Lokesha, M. Manjunath, P. S. K. Reddy, R. Shruti, “Topological aspects boron triangular nanotube and boron-$\alpha$ nanotube”, Vladikavkaz. Mat. Zh., 22:1 (2020), 66–77

Citation in format AMSBIB
\Bibitem{HemLokMan20} \by P.~Sh.~Hemavathi, V.~Lokesha, M.~Manjunath, P.~S.~K.~Reddy, R.~Shruti \paper Topological aspects boron triangular nanotube and boron-$\alpha$ nanotube \jour Vladikavkaz. Mat. Zh. \yr 2020 \vol 22 \issue 1 \pages 66--77 \mathnet{http://mi.mathnet.ru/vmj715} \crossref{https://doi.org/10.23671/VNC.2020.1.57585}