Some bounds on the modified Randic index

Abstract

In this paper, we present some new lower and upper bounds for the modified Randic index in terms of maximum, minimum degree, girth, algebraic connectivity, diameter and average distance. Also we obtained relations between this index with Harmonic and Atom-bond connectivity indices. Finally, as an application we computed this index for some classes of nano-structures and linear chains.

Keywords

• Randic index
• girth
• harmonic index
• ABC index
• algebraic connectivity
• average distance