The First And Second Zagreb Indices Of Degree Splitting Of Molecular Graphs
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AUTHOR(S)
S. Ragavi
KEYWORDS
Zagreb Index, Degree Splitting, Molecular Graphs.
ABSTRACT
The first Zagreb index is the sum of the squares of the degree of the vertices and second Zagreb index is the sum of the product of degrees of pairs of adjacent vertices. My research is to find the first and second Zagreb index of degree splitting of molecular graphs like silicate networks, honey comb network.
REFERENCES
[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]. Gao . W., Farahani, M. R., Shi, L., 2016a. Forgotten topological index of some drug structures,Acta Med. Medit.
[4]. Gao. W, Muhammad Kamran Siddiqui, Muhammad Imran, Mohamad Kamran Jamil, Mohammad Reza Farahani, Forgotten topological index of chemical structure in drugs, Saudi Pharmaceutical Journal, 2016.
[5]. I. Gutman, O. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
[6]. V.R.Kulli, On the sum connectivity reverse index of oxide and honeycomb networks, Journal of computer and Mathematical Sciences,8(9)(2017) 408-413.
[7]. V.R.Kulli, Some topological indices of certain nanotubes, Journal of Computer and Mathematical Sciences, 2018.
[8]. V.R.Kulli, Ravan indices and their polynomials of certain rhombus networks, International Journal of Current Research in Life Sciences, 7(5), May 2018 2110-2116.
[9]. F. Harary, Graph Theory, Addison-Wesley, Reading, Mass, (1969).
[10]. R. Ponraj and S. Soma Sundaram, On the Degree Splitting of a Graphs, NATL. ACAD. SCI. LETT., Vol-27, No.7 & 8, pp. 275 – 278, 2004.
[11]. S.Ragavi, The First and Second Zagreb Indices of Degree Splitting of Graphs, IJMTT, Volume-65 Issue-2 (2019),pp.31-36.
[12]. S.Ragavi, The First and Second Zagreb indices of some special types of graphs, Indian Journal of Applied Research, Volume 9, Issue 4, March 2019.
[13]. E. Sampathkumar and H.B.Walikar, On the splitting of a graph, The Karnataka University Journal Science Vol.XXV& XXVI (Combined) 1980-1981. Pp 13-16.
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