^{1}Government College University Faisalabad Pakistan

^{2}Department of Mathematics, COMSATS Institute of Information Technology, Attock Campus, Pakistan

^{3}Department of Mathematics,Government College University, Faisalabad, Pakistan

Receive Date: 12 January 2017,
Revise Date: 12 February 2017,
Accept Date: 12 March 2017

Abstract

Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as Randic, atom-bond connectivity ´ (ABC) and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study and derive analytical closed results of general Randic index ´ Rα(G) with α = 1, 1 2 ,−1,−1 2 , for boron triangular sheet BTS(m,n), borophene chain of B36(n) and melem chain MC(n). We also compute the general first Zagreb, ABC, GA, ABC4 and GA5 indices of sheet and chains for the first time and give closed formulas of these degree based indices.

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