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Year 2019, Volume 9, Issue 4, 830 - 837, 01.12.2019

Abstract

References

  • Bindusree, A. R., Lokesha, V., and Ranjini, P. S., (2016). ABC index on subdivision graphs and line graphs, IOSR Journal of Mathematics, pp. 01-06.
  • Faisal Nadeem, M., Sohail Zafar and Zohaib Zahid, (2017). Some Topological Indices of L(S(CN Ck[n])), Journal of Mathematics, 49(1), pp. 13-17.
  • Ge, M. and Sattler, K., (1994). Observation of fullerence cones, Chem. Phys. Lett., 220, 192.
  • Gupta, C. K., Lokesha, K., Shetty, B. S., and Ranjini, P. S., (2016). On the Symmetric Division deg Index of Graph, Southeast Asian Bulletin of Mathematics, pp. 59-80.
  • Gutman, I., (2013). Degree-Based Topological Indices, Croatica Chemical Acta, pp. 351-361.
  • Gutman, I. and Ashra, A. R., (2008). The edge version of the Szeged Index, Croat. Chem. Acta., 81, pp. 263-266.
  • Hayat, S., Khan, A., Yousafzai, R. R. F., Imaran, M. and Rehman, U., (2015). On spectrum related topological descriptors of carbon nanocones, Optoelectronics and advanced materials-rapid communi- cations, pp. 798-802.
  • Hosamani, S. M., (2016). Computing Sanskruti Index of certain nanostructures, J. Appl. Math. Com- put., pp. 1-9.
  • Iijima, S., (1991). Helical microtubules of graphitic carbon, Nature, 354, pp. 56-58.
  • Omur Kivanc Kurkcu and Ersin Asian, (2015). Atom bond connectivity Index of Carbon nanocones and an algorithm, Applied Mathematics and Physics, 3(1), pp. 6-9.
  • 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.
  • Lokesha, K., Deepika, T., Ranjini, P. S. and Cangul, I. N., (2017). Operations of Nanostructures via SDD, ABC4and GAindices, Applied Mathematics and Nonlinear Sciences, 2(1), pp. 173-180.
  • Lokesha, V., Shruti, R., Ranjini, P. S. and Sinan cevik, A., (2018). On Certain Topological indices of Nanostructures using Q(G) and R(G) operators, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.,66(2), pp. 178-187.
  • Lokesha, V. and Deepika, T., (2016). Symmetric division deg index of tricyclic and tetracyclic graphs, International Journal of Scientific and Engineering Research, 7(5), pp. 53-55.
  • Saheli, M., Saati, H. and Ashrafi, A. R., (2010). The eccentric connectivity index of one pentagonal carbon nanocones,vOptoelectron. Adv. Mater. Rapid Commun, 4(6), pp. 896-897.
  • Shwetha, B. S., Lokesha, V., Bayad, A. and Ranjini, P. S., (2012). A Comparative Study of Topological Indices and Molecular Weight of Some Carbohydrates, Journal of the Indian Academy of Mathematics, 34(2), pp. 627-636.
  • Vukicevic, D. and Gasperov, M., (2010). Bond Additive Modeling 1. Adriatic Indices, Croatica chem- ical acta, pp. 243-260.
  • Vukicevic, D., (2010). Bond Additive Modeling 2. Mathematical Properties of Max-min Rodeg Index, Croatica chemical acta, 83(3), pp. 261-273.
  • Yuhong Huo, Jia-Bao Liu, Zohaib Zahid, Sohail Zafar, Mohammad Reza Farahani and Muhammad Faisal Nadeem, (2016). On certain topological Indices of the line graph of CN Ck[n] Nanocones, Journal of Computational and Theoretical Nanoscience, 13, pp. 1-5.
  • Yufei Huang, Bolian Liu and Lu Gan, (2012). Augmented Zagrab Index of Connected Graphs, Match Communications in Mathematical and in Computer Chemistry, 67, pp. 483-494.

ADRIATIC INDICES AND SANSKRUTI INDEX ENVISAGE OF CARBON NANOCONE

Year 2019, Volume 9, Issue 4, 830 - 837, 01.12.2019

Abstract

In [17, 18], D. Vukicevic noti ed the 148 discrete adriatic indices. They were analyzed on the testing sets provided by the International Academy of Mathematical Chemistry and it had been shown that they have good presaging properties in many cases. Carbon Nanocones have been observed on the surface of naturally occurring graphite and it have gained and increased scienti c interest due to their unique properties and promising uses in many applications such as energy and gas storage. In this article, we frame-up with the general expression for some discrete adriatic indices and sanskruti index of Carbon Nanocones CNCm[n].

References

  • Bindusree, A. R., Lokesha, V., and Ranjini, P. S., (2016). ABC index on subdivision graphs and line graphs, IOSR Journal of Mathematics, pp. 01-06.
  • Faisal Nadeem, M., Sohail Zafar and Zohaib Zahid, (2017). Some Topological Indices of L(S(CN Ck[n])), Journal of Mathematics, 49(1), pp. 13-17.
  • Ge, M. and Sattler, K., (1994). Observation of fullerence cones, Chem. Phys. Lett., 220, 192.
  • Gupta, C. K., Lokesha, K., Shetty, B. S., and Ranjini, P. S., (2016). On the Symmetric Division deg Index of Graph, Southeast Asian Bulletin of Mathematics, pp. 59-80.
  • Gutman, I., (2013). Degree-Based Topological Indices, Croatica Chemical Acta, pp. 351-361.
  • Gutman, I. and Ashra, A. R., (2008). The edge version of the Szeged Index, Croat. Chem. Acta., 81, pp. 263-266.
  • Hayat, S., Khan, A., Yousafzai, R. R. F., Imaran, M. and Rehman, U., (2015). On spectrum related topological descriptors of carbon nanocones, Optoelectronics and advanced materials-rapid communi- cations, pp. 798-802.
  • Hosamani, S. M., (2016). Computing Sanskruti Index of certain nanostructures, J. Appl. Math. Com- put., pp. 1-9.
  • Iijima, S., (1991). Helical microtubules of graphitic carbon, Nature, 354, pp. 56-58.
  • Omur Kivanc Kurkcu and Ersin Asian, (2015). Atom bond connectivity Index of Carbon nanocones and an algorithm, Applied Mathematics and Physics, 3(1), pp. 6-9.
  • 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.
  • Lokesha, K., Deepika, T., Ranjini, P. S. and Cangul, I. N., (2017). Operations of Nanostructures via SDD, ABC4and GAindices, Applied Mathematics and Nonlinear Sciences, 2(1), pp. 173-180.
  • Lokesha, V., Shruti, R., Ranjini, P. S. and Sinan cevik, A., (2018). On Certain Topological indices of Nanostructures using Q(G) and R(G) operators, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.,66(2), pp. 178-187.
  • Lokesha, V. and Deepika, T., (2016). Symmetric division deg index of tricyclic and tetracyclic graphs, International Journal of Scientific and Engineering Research, 7(5), pp. 53-55.
  • Saheli, M., Saati, H. and Ashrafi, A. R., (2010). The eccentric connectivity index of one pentagonal carbon nanocones,vOptoelectron. Adv. Mater. Rapid Commun, 4(6), pp. 896-897.
  • Shwetha, B. S., Lokesha, V., Bayad, A. and Ranjini, P. S., (2012). A Comparative Study of Topological Indices and Molecular Weight of Some Carbohydrates, Journal of the Indian Academy of Mathematics, 34(2), pp. 627-636.
  • Vukicevic, D. and Gasperov, M., (2010). Bond Additive Modeling 1. Adriatic Indices, Croatica chem- ical acta, pp. 243-260.
  • Vukicevic, D., (2010). Bond Additive Modeling 2. Mathematical Properties of Max-min Rodeg Index, Croatica chemical acta, 83(3), pp. 261-273.
  • Yuhong Huo, Jia-Bao Liu, Zohaib Zahid, Sohail Zafar, Mohammad Reza Farahani and Muhammad Faisal Nadeem, (2016). On certain topological Indices of the line graph of CN Ck[n] Nanocones, Journal of Computational and Theoretical Nanoscience, 13, pp. 1-5.
  • Yufei Huang, Bolian Liu and Lu Gan, (2012). Augmented Zagrab Index of Connected Graphs, Match Communications in Mathematical and in Computer Chemistry, 67, pp. 483-494.

Details

Primary Language English
Journal Section Research Article
Authors

V. LOKESHA This is me
Department of Studies in Mathematics VSK University, Ballari, Karnataka, India


M. MANJUNATH This is me
Department of Studies in Mathematics VSK University, Ballari, Karnataka, India


K. M. DEVENDRAİAH This is me
Department of Studies in Mathematics VSK University, Ballari, Karnataka, India

Publication Date December 1, 2019
Published in Issue Year 2019, Volume 9, Issue 4

Cite

Bibtex @ { twmsjaem760955, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {2146-1147}, eissn = {2587-1013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2019}, volume = {9}, number = {4}, pages = {830 - 837}, title = {ADRIATIC INDICES AND SANSKRUTI INDEX ENVISAGE OF CARBON NANOCONE}, key = {cite}, author = {Lokesha, V. and Manjunath, M. and Devendraiah, K. M.} }