Topological aspects boron triangular nanotube and boron- nanotube

Автор: Hemavathi P. S., Lokesha V., Manjunath M., Reddy P.S.K., Shruti R.

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 1 т.22, 2020 года.

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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-α nanotubes.

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Topological indices, zagreb indices, harmonic index, forgotten index, inverse sum index and symmetric division deg index, boron triangular and boron-α nanotubes

Короткий адрес: https://sciup.org/143170630

IDR: 143170630   |   DOI: 10.23671/VNC.2020.1.57585

Список литературы Topological aspects boron triangular nanotube and boron- nanotube

  • Fath-Tabar, M. Old and New Zagreb Indices of Graphs, MATCH Commun. Math. Comput. Chem., 2011, vol. 65, no. 1, pp. 79-84.
  • Fajtlowicz, S. On Conjectures of Graffiti-II, Congr. Numer., 1987, vol. 60, pp. 187-197.
  • Furtula, B. and Gutman, I. A Forgotten Topological Index, J. Math. Chem., 2015, vol. 53, no. 4, pp. 1184-1190. DOI: 10.1007/s10910-015-0480-z
  • Balaban, A. T. Highly Discriminating Distance Based Numerical Descriptor, Chem. Phys. Lett., 1982, vol. 89, pp. 399-404. DOI: 10.1016/0009-2614(82)80009-2
  • Das, K. C. and Gutman, I. Some Properties of the Second Zagreb Index, MATCH Commun. Math. Comput. Chem., 2004, vol. 52, pp. 103-112.
  • Devillers, J. and Balaban, A. T. Topological Indices and Related Descriptors in QSAR and QSPR, Gordon and Breach Science Publishers, 1999.
  • Milicevic, A., Nikolic, S. and Trinajstic, N. On Reformulated Zagreb Indices, Molecular Diversity, 2004, vol. 8, no. 4, pp. 393-399. DOI: 10.1023/b:modi.0000047504.14261.2a.
  • Alexander, V. Upper and Lower Bounds of Symmetric Division deg Index, Iran. J. Math. Chem., 2014, vol. 5, no. 2, pp. 91-98.
  • Vukicevic, D. and Gasperov, M. Bond Additive Modeling 1. Adriatic Indices, Croat. Chem. Acta, 2010. vol. 83, no. 3, pp. 243-260.
  • Gupta, C. K., Lokesha, V., Shwetha, S. B. and Ranjini, P. S. On the Symmetric Division deg Index of Graph, Southeast Asian Bull. Math., 2016, vol. 40, no. 1, pp. 59-80.
  • Kunstmann, J. and Quandt, A. Broad Boron Sheets and Boron Nanotubes: Anab Initiostudy of Structural, Electronic, and Mechanical Properties, Phys. Rev. B, 2006, vol. 74, no. 3, pp. 1-14.
  • DOI: 10.1103/physrevb.74.035413
  • Battersby, S. Boron Nanotubes Could Outperform Carbon. New Scientist. URL: www.newscientist.com (accessed on 4 January 2008).
  • Miller, P. Boron Nanotubes Beat Carbon at its Own Game. Engadget. URL: www.engadget.com (accessed on 6 January 2008).
  • Lee, R. K.F., Cox, B. J. and Hill, J. M. Ideal Polyhedral Model for Boron Nanotubes with Distinct Bond Lengths, J. Phys. Chem. C., 2009, vol. 113, no. 46, pp. 19794-19805.
  • DOI: 10.1021/jp904985r
  • Tang, H. and Ismail-Beigi, S. Novel Precursors for Boron Nanotubes, the Competition of Two-center and Three-center Bonding in Boron Sheets, Phys. Rev. Lett., 2007, vol. 99, no. 11, pp. 115501-115504.
  • DOI: 10.1103/physrevlett.99.115501
  • Manuel, P. Computational Aspects of Carbon and Boron Nanotubes, Molecules, 2010, vol. 15, no. 12, pp. 8709-8722.
  • DOI: 10.3390/molecules15128709
  • Liu, J.-B., Shaker, H., Nadeem, I. and Hussain, M. Topological Aspects of Boron Nanotubes, Advances in Materials Science and Engineering, vol. 2018, pp. 1-11.
  • DOI: 10.1155/2018/5729291
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