A sharp lower bound of the Randi? index of cacti with r pendants
The Randi? index of a simple connected graph G  is defined as ?uv?E(G)(d(u)d(v))-1/2 ? uv ? E ( G ) ( d ( u ) d ( v ) ) - 1 / 2 . In this paper, we present a sharp lower bound on the Randi? index of cacti with r pendants.
lower bound randi? index cactus chemical graph