The first Zagreb and forgotten topological indices of d-ary trees

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Hacettepe Journal of Mathematics and Statistics
Volume:46 Issue:4
The first Zagreb and forgotten topological indices of d-ary trees

The first Zagreb and forgotten topological indices of d-ary trees

Authors : Ramin Kazemi, Ali Behtoei

Pages : 603-611

View : 21 | Download : 8

Publication Date : 2017-08-01

Article Type : Research Paper

Abstract :The first Zagreb index of a graph is equal to the sum of the square of the vertex degrees of the graph and the forgotten topological index insert ignore into journalissuearticles values(Findex); of a graph is defined as the sum of cubes of the vertex degrees of the graph. These parameters have applications in chemistry and drug structures. For any fixed integer $d\geq2$, the d-ary tree is a rooted tree in which each node has no more than d children. We determine the mean value of these indices in d-ary trees. Also, we obtain some useful relations and equalities related to these indices and other graphical parameters.
Keywords : First Zagreb index, Forgotten topological index, d ary tree, Mean

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