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Multiplicative versions of Banhatti indices. (English) Zbl 1499.05110


MSC:

05C09 Graphical indices (Wiener index, Zagreb index, Randić index, etc.)
05C07 Vertex degrees
05C92 Chemical graph theory

References:

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[2] Chaluvaraju B., Boregowda H. S., and Cangul I. N., Some inequalities for the first general Zagreb index of graphs and line graphs, Proceedings of the Na-tional Academy of Sciences, India Section A: Physical Sciences, 91(1) (2021), 79-88. · Zbl 1490.05030
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[4] Furtula B., Gutman I., A forgotten topological index, Journal of Mathemat-ical Chemistry, 53(4) (2015), 1184-1190. · Zbl 1317.05031
[5] Ghobadi S. and Ghorbaninejad M., On F-polynomial, multiple and hyper F-index of some molecular graphs, Bulletin of Mathematical Sciences and Applications, 20 (2018), 36-43.
[6] Gutman I., Degree based topological indices, Croat. Chem. Acta, 86 (2013), 351-361.
[7] Gutman I., Trinajstic N., Graph Theory and molecular orbitals. Total π-electron energy of alternate hydrocarbons, Chem. Phys. Lett., 17 (1972), 535-538.
[8] Gutman I., Kulli V. R., Chaluvaraju B. and Boregowda H. S., On Banhatti and Zagreb indices, Bull. Int. Math. Virt. Inst., 7 (2017), 53-67. · Zbl 1412.05043
[9] Kulli V. R., College Graph Theory, Vishwa Int. Pub., Gulbarga, India, 2012.
[10] Kulli V. R., Multiplicative hyper-Zagreb indices and coindices of graphs, International Journal of Pure Algebra, 6(7) (2016), 342-347.
[11] Kulli V. R., First multiplicative K Banhatti index and coindex of graphs, Annals of Pure and Applied Mathematics, 11(2) (2016), 79-82.
[12] Kulli V. R., Second multiplicative K Banhatti index and coindex of graphs, Journal of Computer and Mathematical Sciences, 7(5) (2016), 254-258.
[13] Kulli V. R., Multiplicative K hyper -Banahatti indies and coindices of graphs, International Journal of Mathematical Archive, 7(6) (2016), 60-65.
[14] Milićević A., Nikolić S. and Trinajstić N., On reformulated Zagreb indices, Mol. Divers., 8 (2004), 393-399.
[15] Reti T. and Gutman I., Relation between ordinary and multiplicative Zagreb indices, Bulletin of International Mathematical Virtual Institute, 2 (2012), 133-140. · Zbl 1451.05052
[16] Todeschini R. and Consonni V., Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, 2009.
[17] Todeshine R. and Consonni V., New local vertex invariants and descriptors based on functions of vertex degrees, MATCH Commun. Math. Comput. Chem., 64(2) (2010), 359-372.
[18] Todeschini R., Ballabio D. and Consonni V., Novel molecular descriptors based on functions of new vertex degrees, I. Gutman, B. Furtula (eds), Novel molecular structure descriptors -Theory and applications I, Univ. Kraguje-vac, (2010), 73-100.
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