Analysis of COVID-19 by Means of Graph Theory
Abstract
Abstract Views: 105As a powerful displaying, investigation and computational device, graph theory is widely used in biological mathematics to deal with various biology problems. In the field of microbiology, graphs can communicate the sub-atomic structure. Where cell, quality or protein can be indicated as a vertex, and the associate component can be viewed as an edge. Thusly, the biological activity characteristic can be measured via topological index computing in the comparing graphs. In this article, we for the most part concentrate some topological lists for the Corona virus graph. At first,we give a general type of M-polynomial. From the M-polynomial, we recoup some well-known degree-based topological lists, for example, First and Second Zagreb Indices, Second Modified Zagreb Index, Randic´ Index, General Randic´ Index, Symmetric Division Index, Harmonic Index, Inverse Sum Index, Augmented Zagreb Index. Our results are extensions of many existing results.
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References
Gallagher, T. M., & Buchmeier, M. J. (2001). Coronavirus spike proteins in viral entry and pathogenesis.
Virology, 279(2), 371-374. 22
Su, S., Wong, G., Shi, W., Liu, J., Lai, A. C., Zhou, J., & Gao, G. F. (2016). Epidemiology, genetic 133 recombination, and pathogenesis of coronaviruses. Trends in microbiology, 24(6), 490-502. 25
Backer, J. A., Klinkenberg, D., & Wallinga, J. (2020). Incubation period of 2019 novel coronavirus 135 (2019-nCoV) infections among travellers from Wuhan, China, 20 − 28 January 2020. Eurosurveillance, 25(5),
26
Li, Q., Guan, X., Wu, P., Wang, X., Zhou, L., Tong, Y., & Xing, X. (2020). Early transmission dynamics in 138 Wuhan, China, of novel coronavirus infected pneumonia. New England Journal of Medicine. 27
Zhou, P., Yang, X. L., Wang, X. G., Hu, B., Zhang, L., Zhang, W., & Chen, H. D. (2020). Discovery of a 140 novel coronavirus associated with the recent pneumonia outbreak in humans and its potential bat origin. 141 bioRxiv. Cold Spring Harb Lab, 2020, 22-914952. 28
Kwun, Y. C., Ali, A., Nazeer, W., Ahmad Chaudhary, M., & Kang, S. M. (2018). M-polynomials and 143 degree-based topological indices of triangular, hourglass, and jagged-rectangle benzenoid systems. Journal
of Chemistry, 2018.
Deutsch, E., & Klavžar., S. (2014), M-polynomial and degree-based topological indices. arXiv preprint 146 arXiv:1407.159, 93-102. 8
Gutman, I., & Trinajstic, N. (1972). Graph theory and molecular orbitals. Total f-electron energy of alternant 148 hydrocarbons. Chemical Physics Letters, 17(4), 535-538. 5
Hao, J. (2011). Theorems about Zagreb indices and modified Zagreb indices. MATCH Commun. Math. 150 Comput. Chem, 65, 659-670. 41
Gutman, I., Rudic, B., Trinajstic, N., & Wilcox Jr, C. F. (1975). Graph theory and molecular orbitals. XII.
Acyclic polyenes. The Journal of Chemical Physics, 62(9), 3399-3405. 4
Randic, M. (1975). Characterization of molecular branching. Journal of the American Chemical Society, 97(23),
-6615. 5
Bollobas, B., & Erdos, P. (1998). Graphs of extremal weights. Ars Combinatoria, 50, 225-233. 6
Shao, Z., Virk, A. R., Javed, M. S., Rehman, M. A. & Farahani, M. R. (2019).Degree based graph invariants 157 for the molecular graph of Bismuth Tri-Iodide, Eng. Appl. Sci. Lett.,2(1),01-11. 7
Virk, A. R., Jhangeer, M. N., & Rehman, M. A. (2018). Reverse Zagreb and reverse hyper-Zagreb indices for
silicon carbide Si2C3 − I[r, s] and Si2C3 − II[r, s]. Eng. Appl. Sci. Lett.,1(2), 37-48. 36
Ajmal, M., Nazeer, W., Munir, M., Kang, S. M., & Jung, C. Y. (2017). The M-polynomials and topological 161 indices of generalized prism network. International Journal of Mathematical Analysis, 11(6), 293-303. 11
M. Munir, W. Nazeer, S. Rafique, A. R. Nizami. S. kang, M. Some Computational Aspects of Triangular
Boron Nanotube. Symmetry. 2016, 9, 6. 9
Bharati Rajan, A. W., Grigorious, C., & Stephen, S. (2012). On certain topological indices of silicate, 165 honeycomb and hexagonal networks. Journal of Computer and Mathematical Sciences Vol, 3(5), 498-556. 19 166 18. M. Imran, M.A. Ali, S. Ahmad, k.M. Siddiqui,A. Q Baig, (2018). Topological Characterization of the 167 Symmetrical Structure of Bismuth Tri-Iodide. Symmetry 2018, 10
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