On leap Zagreb indices of graphs

Document Type: Original paper

Authors

1 University of Kragujevac

2 Department of Mathematics, University of Mysore, Mysusu, India

3 Department of Mathematics, University of Mysore, Mysuru, India

Abstract

The first and second Zagreb indices of a graph are equal,
respectively, to the sum of squares of the vertex degrees,
and the sum of the products of the degrees of pairs of
adjacent vertices. We now consider analogous graph
invariants, based on the second degrees of vertices
(number of their second neighbors), called leap Zagreb
indices. A number of their basic properties is established.

Keywords

Main Subjects