Some Topological Measures for Nicotine

  • Abaid ur Rehman Virk Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan
Keywords: Shingali & Kanabour indices, Gourava indices, hyper Gourava indices, Nicotine

Abstract

A topological index is a quantity expressed as a number that help us to catch symmetry of chemical compounds. With the help of quantitative structure property relationship (QSPR), we can guess physical and chemical properties of several chemical compounds. Here, we will compute Shingali & Kanabour, Gourava and hype Gourava indices for the chemical compound Nicotine.

References

Y. C. Kwun, A. U. R. Virk, W. Nazeer, M. A. Rehman and S. M. Kang, On the multiplicative degree-based topological indices of silicon-carbon Si2C3−I[p,q] and Si2C3−II[p,q], Symmetry 10(8) (2018), 320. https://doi.org/10.3390/sym10080320

E. Buhleier, W. Wehner and F. Vögtle, Cascade and nonskid-chain-like syntheses of molecular cavity topologies, Chemischer Informationsdienst 9(25) (1978), 155-158. https://doi.org/10.1002/chin.197825228

J. L. Gross, J. Yellen and P. Zhang, Handbook of Graph Theory, Chapman and Hall/CRC, 2013.

H. Wiener, Structural determination of paraffin boiling points, J. Am. Chem. Soc. 69 (1947), 17-20. https://doi.org/10.1021/ja01193a005

I. Gutman, B. Ruščić, N. Trinajstić and C. F. Wilcox, Jr., Graph theory and molecular orbitals. XII. Acyclic polyenes, The Journal of Chemical Physics 62(9) (1975), 3399-3405. https://doi.org/10.1063/1.430994

V. S. Shigehalli and R. Kanabur, Computation of new degree-based topological indices of graphene, J. Math. 2016 (2016), Art. ID 4341919, 6 pp. https://doi.org/10.1155/2016/4341919

V. R. Kulli, The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics 14(1) (2017), 33-38. https://doi.org/10.22457/apam.v14n1a4

V. R. Kulli, On hyper-Gourava indices and coindices, International Journal of Mathematical Archive 8(12) (2017), 116-120.

W. Gao, M. Younas, A. Farooq, A. Virk and W. Nazeer, Some reverse degree-based topological indices and polynomials of dendrimers, Mathematics 6(10) (2018), 214. https://doi.org/10.3390/math6100214

W. Gao, W. Wang, D. Dimitrov and Y. Wang, Nano properties analysis via fourth multiplicative ABC indicator calculating, Arabian Journal of Chemistry 11(6) (2018), 793-801. https://doi.org/10.1016/j.arabjc.2017.12.024

W. Gao, H. Wu, M. K. Siddiqui and A. Q. Baig, Study of biological networks using graph theory, Saudi Journal of Biological Sciences 25(6) (2018), 1212-1219. https://doi.org/10.1016/j.sjbs.2017.11.022

K. Yang, Z. Yu, Y. Luo, Y. Yang, L. Zhao and X. Zhou, Spatial and temporal variations in the relationship between lake water surface temperatures and water quality-A case study of Dianchi Lake, Science of the Total Environment 624 (2018), 859-871. https://doi.org/10.1016/j.scitotenv.2017.12.119

W. Gao, J. L. G. Guirao, M. Abdel-Aty and W. Xi, An independent set degree condition for fractional critical deleted graphs, Discrete & Continuous Dynamical Systems-S 12 (2019), 877-886. https://doi.org/10.3934/dcdss.2019058

S. M. Kang, M. A. Zahid, A. R. Virk, W. Nazeer and W. Gao, Calculating the degree-based topological indices of dendrimers, Open Chemistry 16(1) (2018), 681-688. https://doi.org/10.1515/chem-2018-0071

Z. Shao, A. R. Virk, M. S. Javed, M. A. Rehman and M. R. Farahani, Degree based graph invariants for the molecular graph of Bismuth Tri-Iodide, Eng. Appl. Sci. Lett. 2(1) (2019), 01-11.

A. R. Virk, M. N. Jhangeer and M. A. Rehman, Reverse Zagreb and reverse hyper-Zagreb indices for silicon carbide Si2C3I[r; s] and Si2C3II[r; s], Eng. Appl. Sci. Lett. 1(2) (2018), 37-50. https://doi.org/10.30538/psrp-easl2018.0010

M. Naeem, M. K. Siddiqui, J. L. G. Guirao and W. Gao, New and modied eccentric indices of octagonal grid Omn, Applied Mathematics and Nonlinear Sciences 3(1) (2018), 209-228. https://doi.org/10.21042/AMNS.2018.1.00016

W. Gao, M. R. Farahani and L. Shi, Forgotten topological index of some drug structures, Acta Medica Mediterranea 32(1) (2016), 579-585.

M. Ghorbani and M. Ghazi, Computing some topological indices of Triangular Benzenoid, Digest. J. Nanomater. Bios 5(4) (2010), 1107-1111.

D. Amić, D. Bešlo, B. Lucčić, S. Nikolić and N. Trinajstić, The vertex-connectivity index revisited, J. Chem. Inf. Comput. Sci. 38(5) (1998), 819-822. https://doi.org/10.1021/ci980039b

A. R. Virk, M. A. Rehman and W. Nazeer, New denition of atomic bond connectivity index to overcome deciency of structure sensitivity and abruptness in existing definition, Sci Inquiry Rev. 3(4) (2019), 1-20.

A. Kalali, S. Richerson, E. Ouzunova, R. Westphal and B. Miller, Digital biomarkers in clinical drug development, in: Handbook of Behavioral Neuroscience (Vol. 29, pp. 229-238), Elsevier, 2019. https://doi.org/10.1016/B978-0-12-803161-2.00016-3

S. Kishioka, N. Kiguchi, Y. Kobayashi and F. Saika, Nicotine effects and the endogenous opioid system, Journal of Pharmacological Sciences 125(2) (2014), 117-124. https://doi.org/10.1254/jphs.14R03CP

B. Siegmund, E. Leitner and W. Pfannhauser, Determination of the nicotine content of various edible nightshades (Solanaceae) and their products and estimation of the associated dietary nicotine intake, J. Agric. Food Chem. 47(8) (1999), 3113-3120. https://doi.org/10.1021/jf990089w

Published
2020-06-09
How to Cite
Virk, A. ur R. (2020). Some Topological Measures for Nicotine. Earthline Journal of Mathematical Sciences, 4(2), 287-296. https://doi.org/10.34198/ejms.4220.287296
Section
Articles