On leap Zagreb indices of some nanostructures
Authors :
B. Basavanagoud 1∗ and E. Chitra 1
Author Address :
1 Department of Mathematics, Karnatak University, Dharwad-580 003, Karnataka, India.
*Corresponding author.
Abstract :
In recent years, higher order topological indices are gaining much importance because of their greater correlation with many chemical properties. One among them is leap Zagreb index which is based on both distance and degree. For a graph $G$, the first, second and third leap Zagreb indices are the sum of squares of $2$-distance degree of vertices of $G$; the sum of product of $2$-distance degree of end vertices of edges in $G$ and the sum of product of $1$-distance degree and $2$-distance degrees of vertices of $G$, respectively. In this paper, we compute the expressions for these three leap Zagreb indices of some nanostructures.
Keywords :
Degree, distance, leap Zagreb index, nanostructure.
DOI :
Article Info :
Received : April 19, 2018; Accepted : December 08, 2018.
