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SK INDICES, FORGOTTEN TOPOLOGICAL INDICES AND HYPER ZAGREB INDEX OF Q OPERATOR OF CARBON NANOCONE

Yıl 2019, Cilt: 9 Sayı: 3, 675 - 680, 01.09.2019

Öz

Carbon nanocones are conical structures made from carbon and they have one dimension of order one micrometer. The physical features of these structures can be easily understood by exploiting topological indices. In this article we established SK, F, S and Hyper Zagreb index of carbon nanocones using Q G operator.

Kaynakça

  • Diudea, M. V., Gutman, I. and Lorentz, J., (2001) Molecular Topology, Babes-Bolyai University, Cluj- Napoca, Romania.
  • Furtula, B. and Gutman, I., (2015), A forgotten topological index, J. Math. Chem., 53, pp. 1184-1190.
  • Gutman, I., (2013) Degree-Based Topological Indices, Croat. Chem. Acta., 86(4), pp. 351361.
  • Gutman, I. and Trinajstic, N., (1972), Graph Theory and molecular orbitals, total Π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, pp. 535-538.
  • Hayat, S. and Imran, M., (2014), On topological properties of nanocones CN Ck[n], Studia Universitatis Babes-Bolyai Chemia., 59, pp. 113-128.
  • Hayat, S., Khan, A., Yousafzai, F., Imaran, M. and Rehman, M. U., (2015), On spectrum related topo- logical descriptors of carbon nanocones, Optoelectronics and advanced materials-rapid communications, 9(5), pp. 798-802.
  • Huo, Y., Liu, J-B., Zahid, Z., Zafar, S., Farahani, M. R. and Nadeem, M. F., (2016), On certain topological indices of the line graph of CN Ck[n], J. Computational and Theoretical Nanoscience, 13(7), pp. 4318-4322.
  • Lokesha, V., Usha, A., Ranjini, P. S., and Devendraiah, K. M., (2015), Topological indices on model graph structure of Alveoli in human lungs, Proc. Jang. Mathematical society, 18(4), pp. 435-453.
  • Nadeem, M. F., Zafar, S. and Zahid, Z., (2017), Some Topological Indices of L(S(CN Ck[n])), J. Mathematics, 49(1), pp. 13-17.
  • Ranjini, P.S and Lokesha, V., (2010), Smarandache-Zagreb index on Three graph operators, Interna- tional J. Math. Combin. 3, pp. 1-10.
  • Shegehalli, V. S. and Kanabur, R., (2015), Arithmetic-Geometric indices of Path Graph, J. Comp. and Mathematical Sciences, 6(1), pp. 19-24.
  • Shegehalli, V. S. and Kanabur, R., (2015), Arithmetic-Geometric indices of some class of Graph, J. Comp. and Mathematical Sciences, 6(4), pp. 194-199.
  • Shirdel, G. H., RezaPour, H. and Sayadi, A. M., (2013), The Hyper-Zagreb Index of Graph Operations, Iranian J. of Mathematical Chem., 4(2), pp. 213-220.
  • Trinajstic, N., (1992), Chemical Graph Theory, Mathematical Chemistry Series, CRC Press, Boca Raton, Fla, USA, 2nd edition.
  • Vukicevic, D. and Furtula, B., (2009), Topological index based on the ratios of geometrical and arithmetical mean of end-vertex degrees of edges, J. Math. Chem, 46, pp. 1369-1376.
  • Zhou, B. and Trinajstic, N., (2009), On a novel connectivity index, J. Math. Chem., 46, pp. 1252-1270.
Yıl 2019, Cilt: 9 Sayı: 3, 675 - 680, 01.09.2019

Öz

Kaynakça

  • Diudea, M. V., Gutman, I. and Lorentz, J., (2001) Molecular Topology, Babes-Bolyai University, Cluj- Napoca, Romania.
  • Furtula, B. and Gutman, I., (2015), A forgotten topological index, J. Math. Chem., 53, pp. 1184-1190.
  • Gutman, I., (2013) Degree-Based Topological Indices, Croat. Chem. Acta., 86(4), pp. 351361.
  • Gutman, I. and Trinajstic, N., (1972), Graph Theory and molecular orbitals, total Π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17, pp. 535-538.
  • Hayat, S. and Imran, M., (2014), On topological properties of nanocones CN Ck[n], Studia Universitatis Babes-Bolyai Chemia., 59, pp. 113-128.
  • Hayat, S., Khan, A., Yousafzai, F., Imaran, M. and Rehman, M. U., (2015), On spectrum related topo- logical descriptors of carbon nanocones, Optoelectronics and advanced materials-rapid communications, 9(5), pp. 798-802.
  • Huo, Y., Liu, J-B., Zahid, Z., Zafar, S., Farahani, M. R. and Nadeem, M. F., (2016), On certain topological indices of the line graph of CN Ck[n], J. Computational and Theoretical Nanoscience, 13(7), pp. 4318-4322.
  • Lokesha, V., Usha, A., Ranjini, P. S., and Devendraiah, K. M., (2015), Topological indices on model graph structure of Alveoli in human lungs, Proc. Jang. Mathematical society, 18(4), pp. 435-453.
  • Nadeem, M. F., Zafar, S. and Zahid, Z., (2017), Some Topological Indices of L(S(CN Ck[n])), J. Mathematics, 49(1), pp. 13-17.
  • Ranjini, P.S and Lokesha, V., (2010), Smarandache-Zagreb index on Three graph operators, Interna- tional J. Math. Combin. 3, pp. 1-10.
  • Shegehalli, V. S. and Kanabur, R., (2015), Arithmetic-Geometric indices of Path Graph, J. Comp. and Mathematical Sciences, 6(1), pp. 19-24.
  • Shegehalli, V. S. and Kanabur, R., (2015), Arithmetic-Geometric indices of some class of Graph, J. Comp. and Mathematical Sciences, 6(4), pp. 194-199.
  • Shirdel, G. H., RezaPour, H. and Sayadi, A. M., (2013), The Hyper-Zagreb Index of Graph Operations, Iranian J. of Mathematical Chem., 4(2), pp. 213-220.
  • Trinajstic, N., (1992), Chemical Graph Theory, Mathematical Chemistry Series, CRC Press, Boca Raton, Fla, USA, 2nd edition.
  • Vukicevic, D. and Furtula, B., (2009), Topological index based on the ratios of geometrical and arithmetical mean of end-vertex degrees of edges, J. Math. Chem, 46, pp. 1369-1376.
  • Zhou, B. and Trinajstic, N., (2009), On a novel connectivity index, J. Math. Chem., 46, pp. 1252-1270.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

V. Lokesha Bu kişi benim

K. Zeba Yasmeen Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 9 Sayı: 3

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