On degree based topological indices of bridge graphs

References

• T. Al-Fozan, P. Manuel, I. Rajasingh, R. S. Rajan, A new technique to compute Padmakar-Ivan index and Szeged index of pericondensed benzenoid graphs, J. Comput. Theor. Nanosci. 11 (2014) 533-539. DOI:10.1166/jctn.2014.3390
   Google Scholar
• A.R. Ashrafi, P. Nikzad, Connectivity index of the family of dendrimer nanostar, Dig. J. Nanomater. Bios. 4 (2009) 269-273. DOI:10.1166/jctn.2011.1790
   Web of Science ®Google Scholar
• M. Baca, J. Horvathova, M. Mokrisova, A. Suhanyiova, On topological indices of fullerenes, Appl. Math. Comput. 251 (2015) 154-161. DOI:10.1016/j.amc.2014.11.069
   Web of Science ®Google Scholar
• M. Baca, J. Horvathova, M. Mokrisova, A. Semanicov-Fenovckov, A. Suhanyiova, On topological indices of carbon nanotube network, Can. J. Chem. 93 (2015) 1-4. DOI:10.1139/cjc-2015-0175
   Web of Science ®Google Scholar
• B. Borovicanin, On the Extremal Zagreb Indices of Trees with Given Number of Segments or Given Number of Branching Vertices, MATCH Commun. Math. Comput. Chem. 74(1)(2015) 57-79. DOI:10.1007/s00373-012-1258-8
   Web of Science ®Google Scholar
• Z. Chen, M. Dehmer, F. Emmert-Streib, Y. Shi, Entropy bounds for dendrimers, Appl. Math. Com-put. 242(2014) 462-472. DOI:10.1016/j.amc.2014.05.105
   Web of Science ®Google Scholar
• E. Deutschi, S. Klavžar, Iranian Journal of Mathematical Chemistry. 6(2) 2015, 93-102. DOI:10.7508/ijmsi.2016.01.006
   Google Scholar
• A.A. Dobrynin, R. Entringer, I. Gutman, Wiener index of trees: Theory and applications, Acta Appl. Math. 66 (2001) 211-249. DOI:10.1023/A:1010767517079
   Web of Science ®Google Scholar
• W. Du, X. Li, Y. Shi, Algorithms and extremal problem on Wiener polarity index, MATCH Commun. Math. Comput. Chem. 62(1)(2009) 235-244. DOI:10.1016/S0167-5060(08)70328-5
   Web of Science ®Google Scholar
• M. Eliasi, A. Iranmanesh, I. Gutman. Multiplicative version of first Zagreb index, MATCH Commun. Math. Comput. Chem. 68 (2012) 217-230. DOI:10.1016/j.endm.2013.11.028
   Web of Science ®Google Scholar
• B. Furtula, I. Gutman, M. Dehmer, On structure-sensitivity of degree-based topological indices, Appl. Math. Comput. 219 (2013) 8973-8978. DOI:10.1016/j.amc.2013.03.072
   Web of Science ®Google Scholar
• M. Ghorbani, M. A. Hosseinzadeh, Computing ABC4 index of nanostar dendrimers, Optoelectron. Adv. Mater. Rapid Commun. 4 (2010) 1419-1422. DOI:10.1166/jctn.2016.5974
   Web of Science ®Google Scholar
• M. Ghorbani, N. Azimi, Note on multiple Zagreb indices, Iran. J. Math. Chem. 3(2) (2012), 137-143. DOI:10.1016/j.dam.2015.06.028
   Google Scholar
• A. Graovac, M. Ghorbani, M. A. Hosseinzadeh, Computing fifth geometric-arithmetic index for nanostar dendrimers, J. Math. Nanosci. 1 (2011) 33-42. DOI:10.24297/jac.v3i1.915
   Google Scholar
• I. Gutman, K. C. Das, Some Properties of the Second Zagreb Index, MATCH Commun. Math. Comput. Chem. 50 (2004) 103-112. DOI:10.1007/s10878-019-00518-7
   Google Scholar
• I. Gutman, B. Furtula, Z. Kovijanic Vukičević, G. Popivoda, On Zagreb Indices and Coindices, MATCH Commun. Math. Comput. Chem. 74(1)(2015) 5-16. DOI:10.7251/BIMVI1803477J
   Web of Science ®Google Scholar
• I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, New York, 1986. DOI:10.1137/1030083
   Google Scholar
• I. Gutman, Degree-based topological indices, Croat. Chem. Acta. 86 (2013) 351-361. DOI:10.5562/cca2294
   Web of Science ®Google Scholar
• I. Gutman, N. Trinajstić, Graph theory and molecular orbital total p-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (1972) 535-538. DOI:10.1016/0009-2614(72)85099-1
   Web of Science ®Google Scholar
• W. Gao, M.K. Siddiqui, M. Imran, M.K. Jamil, M.R. Farahani, Forgotten Topological Index of Chemical Structure in Drugs, Saudi Pharmaceutical Journal, (2016), 24, 258-267. DOI:10.1016/j.jsps.2016.04.012
   PubMed Web of Science ®Google Scholar
• W. Gao, M.K. Siddiqui, Molecular Descriptors of Nanotube, Oxide, Silicate, and Triangulene Networks, Journal of Chemistry, 2017, Article ID 6540754, 1-10. DOI:10.1155/2017/6540754
   Google Scholar
• M. Imran, M.K. Siddiqui, M. Naeem, M.A. Iqbal, On Topological Properties of Symmetric Chemical Structures. Symmetry, (2018), 10, 173. DOI:10.3390/sym10050173.
   Google Scholar
• B. Klajnert, M. Bryszewska, Dendrimers, properties and applications, Acta Biochim. Pol. 48 (1) (2001) 199-208. DOI:10.1016/B978-0-444-53349-4.00162-X
   PubMed Web of Science ®Google Scholar
• X. Li, Y. Shi, A survey on the Randić index, MATCH Commun. Math. Comput. Chem. 59(1)(2008) 127-156. DOI:10.1007/s10910-005-9020-6
   Web of Science ®Google Scholar
• J. Ma, Y. Shi, J. Yue, The Wiener polarity index of graph products, Ars Combin. 116(2014) 235-244. DOI:10.1016/j.amc.2016.01.043
   Web of Science ®Google Scholar
• J. Ma, Y. Shi, Z. Wang, J. Yue, On Wiener polarity index of bicyclic networks, Sci. Rep. 6 (2016), 19066. DOI:10.1038/srep19066.
   PubMed Web of Science ®Google Scholar
• M.K. Siddiqui, W. Gharibi, On Zagreb Indices, Zagreb Polynomials of Mesh Derived Networks, J. Comput. Theor. Nanosci. 2016, 13, 8683-8688. DOI:10.1166/jctn.2016.6030
   Google Scholar
• M.K. Siddiqui, M. Naeem, N.A. Rahman, M. Imran, Computing topological indices of certain networks, J. Optoelectronics and Advanced Materials, 2016, 18(9), 884-892. DOI:10.1016/j.amc.2014.04.091
   Web of Science ®Google Scholar
• G.H. Shirdel, H.R. Pour, A.M. Sayadi, The Hyper-Zagreb Index of Graph Operations, Iran. J. Math. Chem. 4(2) (2013) 213-220. DOI:10.1007/s12190-016-1008-9
   Google Scholar
• M.K. Siddiqui, M. Imran, A. Ahmad, On Zagreb indices, Zagreb polynomials of some nanostar dendrimers, Appl. Math. Comput. 280 (2016) 132-139. DOI:10.1016/j.amc.2016.01.041
   Web of Science ®Google Scholar
• H. Wiener, Structural determination of paraffin boiling points, J. Am. Chem. Soc. 69 (1947) 17-20. DOI:10.1021/ja01193a005
   PubMed Web of Science ®Google Scholar
• M.K. Jamil, I. Tomescu, M. Imran, A. Javed, Some bounds on zeroth order general Randić index, Mathematics. 2020, 8, 98-108. Doi:10.3390/math8010098.
   Web of Science ®Google Scholar
• M. Imran, M.K. Siddiqui, S. Ahmad, M.F. Hanif, M.H. Muhammad, M.R. Farahani, Topological properties of benzenoid, phenylenes and nanostar dendrimers, Journal of Discrete Mathematical Sciences and Cryptography, 22(7)(2019), 1229-1248. DOI:10.1080/09720529.2019.1701267
   Web of Science ®Google Scholar
• M. Imran, A.Q. Baig, S.U. Rehman, H. Ali, R. Hasni, Computing topological polynomials of mesh derived networks, Discrete Mathematics, Algorithms and Applications, 10(6) (2018), 1850077 (25 pages), Doi:10.1142/S1793830918500775.
   Web of Science ®Google Scholar
• X. Zhang, X. Wu, S. Akhter, M.K. Jamil, J.-B. Liu, M.R. Farahani, Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs. Symmetry, 2018. 7, 202-210. DOI:2073-8994/10/12/751.
   Google Scholar
• N. De, Hyper Zagreb index of bridges and chain graphs, Open Journal of Mathematical Sciences. 2(1), 2018, 1-17. DOI: 10.30538/oms2018.0013
   Google Scholar
• M. Azari, Multiplicative Sum Zagreb Index of Splice, Bridge, and Bridge-Cycle Graphs, Boletim da Sociedade Paranaense de Matemática, 2018,8,12-32. DOI:10.1216/RMJ-2017-47-7-2219
   Google Scholar