On leap indices of CNC_k[n] by using line operator on its subdivision

References

• S. Ahmad, H. M. A. Siddiqui, A. Ali, M.R. Farahani, M. Imran and I.N. Cangul. On Wiener index and Wiener polarity index of some polyomino chains. Journal of Discrete Mathematical Sciences and Cryptography, 22(7):2019, 1151-1164. DOI:10.1080/09720529.2019.1688965
   Web of Science ®Google Scholar
• F. Afzal, S. Hussain, D. Afzal and S. Razaq. Some new degree based topological indices via M-polynomial, Journal of Information and Optimization Sciences, 41(4):1061-1076, 2020. DOI:10.1080/02522667.2020.1744307
   Web of Science ®Google Scholar
• M. Alaeiyan, F. Afzal, M.R. Farahani and M.A. Rostami. An exact formulas for the Wiener polarity index of nanostar dendrimers, Journal of Information and Optimization Sciences, 41(4):933-939 2020. DOI:10.1080/02522667.2020.1748274
   Web of Science ®Google Scholar
• M. Cancan, S. Ediz, H. Mutee-Ur-Rehman and D. Afzal. M-polynomial and topological indices Poly (EThyleneAmidoAmine) dendrimers. Journal of Information and Optimization Sciences, 41(4):1117-1131, 2020. DOI:10.1080/02522667.2020.1745383
   Web of Science ®Google Scholar
• M. Cancan, S. Ediz, S. Fareed and M.R. Farahani. More topological indices of generalized prism network. Journal of Information and Optimization Sciences, 41(4):925-932, 2020. DOI:10.1080/02522667.2020.1748273
   Web of Science ®Google Scholar
• U.K. Faraji, M. Alaeiyan, M. Golriz, A.R. Gilani, Harmonic indices of polyhex zigzag TUZC6[m;n] nanotube and nanotori, Journal of Information and Optimization Sciences, 41(4):1093-1100, 2020. DOI:10.1080/02522667.2020.1744309
   Web of Science ®Google Scholar
• M. Cancan, S. Ediz, M. Alaeiyan, M.R. Farahani, On Ve-degree molecular properties of copper oxide. Journal of Information and Optimization Sciences, 41(4):949-957, 2020. DOI:10.1080/02522667.2020.1747191
   Web of Science ®Google Scholar
• M. Imran, M.K. Siddiqui, S. Ahmad, M.F. Hanif, M.H. Muhammad and M.R. Farahani. Topological properties of Benzenoid, phenylenes and nanostar dendrimers. Journal of Discrete Mathematical Sciences and Cryptography, 22(7):1229-1248, (2019). DOI:10.1080/09720529.2019.1701267
   Web of Science ®Google Scholar
• U.K. Faraji, M. Alaeian, M. Golriz and A.R. Gilani. Computing harmonic indices of series Benzenoid Hk and hydrocarbons PAHk by use of cut method. Journal of Discrete Mathematical Sciences and Cryptography, 22(7):1249-1259, 2019. DOI:10.1080/09720529.2019.1688967
   Web of Science ®Google Scholar
• W. Gao and M.R. Farahani. The Zagreb topological indices for a type of Benzenoid systems jagged-rectangle. Journal of Interdisciplinary Mathematics, 20(5):1341-1348, 2017. DOI:10.1080/09720502.2016.1232037
   Web of Science ®Google Scholar
• A.J.M. Khalaf, M.F. Hanif, M.K. Siddiqui and M.R. Farahani. On degree based topological indices of bridge graphs. Journal of Discrete Mathematical Sciences, Cryptography. 23(6), (2020), 1139–1156. DOI:10.1080/09720529.2020.1822040
   Google Scholar
• M. Cancan, D. Afzal, S. Hussain, F. Afzal and A. Maqbool. Some New Topological Indices of Silicate Network via M-polynomial. Journal of Discrete Mathematical Sciences, Cryptography, 23(6):1157–1171, 2020. DOI:10.1080/09720529.2020.1809776
   Google Scholar
• A.J.M. Khalaf, S. Hussain, F. Afzal, A. Maqbool and D. Afzal. M-Polynomial and Topological Indices of Book Graph. Journal of Discrete Mathematical Sciences and Cryptography, 23(6):2020, 1217–1237. DOI:10.1080/09720529.2020.1809115
   Web of Science ®Google Scholar
• M.R. Farahani. Computing Θ(G,x) and Π(G,x) Polynomials of an Infinite Family of Benzenoid. Acta Chimica Slovenica 59:965-968, 2012.
   PubMed Web of Science ®Google Scholar
• M.R. Farahani. Computing theta polynomial, and theta index of V-phenylenic planar, nanotubes and nanotorus. International Journal of Theoretical Chemistry, 1(1):01-09, 2013.
   Google Scholar
• F. Asif, Z. Zahid, M. Cancan. On some leap indices of polycyclic aromatic hydrocarbons (PAHs). Journal of Discrete Mathematical Sciences and Cryptography, 23(6), 1269-1277, 2020. DOI:10.1080/09720529.2020.1816696
   Web of Science ®Google Scholar
• F. Asif, Z. Zahid, M. R. Farahani, M. Cancan, S. Ediz. Leap indices and their polynomials of the derived graph of the subdivision of certain polyphenyls. Eurasian Chemical Communication, 2:1195-1201, 2020. DOI:10.22034/ECC.2020.258210.1104
   Google Scholar
• L. W. Beineke. Characterizations of derived graphs. Journal of Combinatorial Theory, 9(2):129-135, 1970. DOI:10.1016/S0021-9800(70)80019-9
   Google Scholar
• B. Basavanagoud, P. Jakkannavar. Computing first leap Zagreb index of some nano structures. International Journal of Mathematics and Applications, 6(2), 141-150, 2018.
   Google Scholar
• N. De, M. Cancan, M. Alaeiyan. On some degree based topological indices of mk-graph. Journal of Discrete Mathematical Sciences and Cryptography, 23(6), 1183-1194, 2020. DOI:10.1080/09720529.2020.1809112
   Web of Science ®Google Scholar
• E. Estrada, L. Torres, L. Rodriguez, I. Gutman. An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes. Indian Journal of Chemistry, 37(A), 849-855, 1998.
   Google Scholar
• M.R. Farahani. Omega and Sadhana Polynomials of Circumcoronene Series of Benzenoid. World Applied Sciences Journal, 20(9), 1248-1251, 2012. DOI:10.5829/idosi.wasj.2012.20.09.2616
   Google Scholar
• M.R. Farahani. The Ediz eccentric connectivity index and the total eccentricity index of a Benzenoid system. Journal of Chemica Acta, 2(1), 22-25, 2013.
   Google Scholar
• W. Gao, M.R. Farahani. The hyper-Zagreb index for an infinite family of nanostar dendrimer. Journal of Discrete Mathematical Sciences and Cryptography, 20(2), 515-523, 2017. DOI:10.1080/09720529.2016.1220088
   Web of Science ®Google Scholar
• I. Gutman, L. Popovic, B. K. Mishra, M. Kaunar, E. Estrada, N. Guevara. Application of line graphs in physical chemistry. Predicting surface tension of alkanes. Journal of Serbian Chemical Society, 62(3), 1025-1029, 1997.
   Google Scholar
• W. Gao, L. Shi, M.R. Farahani. Szeged Related Indices of TUAC6[p,q]. Journal of Discrete Mathematical Sciences and Cryptography, 20(2), 553-563, 2017. DOI:10.1080/09720529.2016.1228312
   Web of Science ®Google Scholar
• I. Gutman, N. Trinajstić. Graph theory and molecular orbital. Total p-electron energy of alternant hydrocarbons. Chemical Physics Letters, 17(4), 535-538, 1972. DOI:10.1016/0009-2614(72)85099-1
   Web of Science ®Google Scholar
• I. Gutman, Z. Tomovic. On the application of line graphs in quantitative structure-property studies. Journal of Serbian Chemical Society, 65(8), 577-580, 2000. DOI:10.2298/JSC0008577G
   Web of Science ®Google Scholar
• M. Nazri Husin, A. Ariffin, M. Alaeiyan. The neighbourhood polynomial of certain networks. Journal of Information and Optimization Sciences, 41(4), 941-948, 2020. DOI:10.1080/02522667.2020.1748275
   Web of Science ®Google Scholar
• Y. Huo, J.B. Liu, Z. Zahid, S. Zafar, M.R. Farahani, M.F. Nadeem. On Certain topological indices of the line graph of CNCk[n] nanocones. Journal of Computational and Theoretical Nanoscience, 13(7), 4318-4322, 2016. DOI:10.1166/jctn.2016.5286
   Google Scholar
• V.R. Kulli, P. Jakkannavar, B. Basavanagoud. Computation of leap hyper-Zagreb indices of certain windmill graphs. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 75-79, 2019.
   Google Scholar
• X. Li, F. Asif, Z. Zahid, S. Zafar. On topological properties of plane graphs by using line operator on their subdivisions. International Journal of Applied Mathematics, 32(6), 1023-1036, 2019. DOI:10.12732/ijam.v32i6.9
   Google Scholar
• M. Nazri Husin, F. Asif, Z. Zahid, S. Zafar. On topological properties of some convex polytopes by using line operator on their subdivisions. Journal of Information and Optimization Sciences, 41(4), 891-903, 2020. DOI:10.1080/02522667.2020.1744305
   Web of Science ®Google Scholar
• A.M. Naji, N.D. Soner. The first leap Zagreb index of some graph operations. International Journal of Applied Graph Theory, 2(1), 7-18, 2018.
   Google Scholar
• A.M. Naji, N. D. Soner, I. Gutman. On leap Zagreb indices of graphs. Communications in Combinatorics and Optimization, 2(2), 99-117, 2017. DOI:10.22049/cco.2017.25949.1059
   Google Scholar
• M.H.A. Siddiqui, M.R. Farahani. Forgotten polynomial and forgotten indexofcertaininter-connectionnetworks. Open Journalof Mathematical Analysis, 1(1):45-60, 2017. DOI:10.30538/psrp-oma2017.0005
   Google Scholar
• Z. Shao, I. Gutman, Z. Li, S. Wang, P. Wu. The first leap Zagreb index of some graph operations. Communications in Combinatorics and Optimization, 3(2):179-194, 2018.
   Google Scholar
• N.D. Soner, A.M. Naji. The k-distance neighborhood polynomial of a graph. International Journal of Mathematics and Computer Science, 3(9):2359-2364, 2016.
   Google Scholar
• G. Su, L. Xu. Topological indices of the line graph of subdivision graphs and their Schur-bounds. Applied Mathematics and Computation, 253(C):395-401, 2015. DOI:10.1016/j.amc.2014.10.053
   Google Scholar
• G.H.F. Tabar. Zagreb polynomial and indices of some nanostructures. Digest Journal of Nano-materials and Biostructures, 4(1):189-191, 2009.
   Web of Science ®Google Scholar
• R. Todeschini, V. Consonni. Handbook of Molecular Descriptors. Wiley, Weinheim, (2000).
   Google Scholar
• D.B. West. An Introduction to Graph Theory, Prentice-Hall, (1996).
   Google Scholar
• 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. Engineering and Applied Science Letters, 2(1):01-11, 2019. DOI:10.30538/psrp-easl2019.0011
   Google Scholar
• X. Zhang, A. Razzaq, K. Ali, S.T. R. Rizvi and M.R. Farahani. A new approach to find eccentric indices of some graphs, Journal of Information and Optimization Sciences, 41(4):865-877, 2020. DOI:10.1080/02522667.2020.1744304
   Web of Science ®Google Scholar