Volume 66 | Issue 12 | Year 2020 | Article Id. IJMTT-V66I12P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I12P516
Let G be amolecular graph with vertex set V(G) and edge set E(G). We introduce a new topological index namely Contra Harmonic index which is defined as CH(G) = ΣuvεE(G)d(u)2+d(v)2 / d(u)+d(v) where d(u) and d(v) are the degree of the vertices u and v.In this paper, we obtained bounds for contra harmonic index of graphs.
[1] J. Braun, A. Kerber, M. Meringer, C. Rucker Similarity of molecular descriptors: the equivalence of Zagreb indices and walk counts,MATCH Commun. Math. Comput. Chem., 54 (2005), pp. 163-176.
[2] K.C. Das and I. Gutman, Some properties of the second Zagreb index, MATCH Commun. Math. Comput. Chem 52 (2004), no. 1, 103–112.
[3] I. Gutman, N. TrinajsticGraph theory and molecular orbitals, Total π electron energy of alternant hydrocarbons,Chem. Phys. Lett., 17 (1972), pp. 535-538.
[4] I. Gutman, O. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
[5] Gutman, I., Lepovi´c, M. (2001). Choosing the exponent in the definition of the connectivity index. J. Serb. Chem. Soc., 66(9), 605-611
[6] S. Fajtlowicz, On conjectures of Graffiti – II, Congr. Numer. 60 (1987) 187–197
[7] F. Harary, Graph Theory, Addison-Wesley, Reading, Mass, (1969).
[8] NenadTrinajstic, Chemical Graph Theory, Second Edition.
[9] S. Nikolic, G. Kovacevic, A. Milicevic, N. Trinajstic, The Zagreb indices 30 years, afterCroat. Chem. Acta, 76 (2003), pp. 113-124.
[10] K.Pattabiraman, M.Seenivasan, Bounds on Vertex Zagreb Indices of Graphs, Global Journal of Science Frontier Research, Vol. 17 Issue 6 (2017)
[11] K.Pattabiraman, Inverse sum indeg index of graphs, AKCE International Journal of Graphs and Combinotorics, 15(2018), 155-167.
[12] Ranjini P.S, V. Lokesha, M. Bindusree, M. PhaniRaju, New Bounds on Zagreb indices and the Zagreb Co-indices, Global Journal of Science Frontier Research (2013).
[13] D. Vukiˇcevi´c and M. Gaˇsperov, Bond additive modeling 1. Adriatic indices, Froat. Chem. Acta 83 (2010) 261–273.
[14] B. Zhou, I. Gutman, Further properties of Zagreb indices,MATCH Commun. Math. Comput. Chem., 54 (2005), pp. 233-239.
S.Ragavi, R.Sridevi, "Contra Harmonic Index Of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 12, pp. 116-121, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I12P516