DEGREE BASED TOPOLOGICAL INDICES OF LINE GRAPH OF A CAYLEY TREE Γ_n^k

DEGREE BASED TOPOLOGICAL INDICES OF LINE GRAPH OF A CAYLEY TREE Γ_n^k

U. Poojari, B. S. Durgi, R. M. Banakar

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Abstract

Several topological indices and their chemical applicability have been stud- ied in chemical graph theory. Some of the degree based topological indices, namely Zagreb index, Modi ed Zagreb index, Randi c index, Atom-bond connectivity index, the fourth version of atom-bond connectivity index, Geometric arithmetic index, the  fth version of geometric arithmetic index, Sum connectivity index have been obtained for Cayley tree k n for k = 2 . In this paper, we have computed these topological indices for the line graph of a Cayley tree L(k n).

Keywords

Degree based topological index, Zagreb index, atom-bond connectivity index, Randi c index, Cayley tree.