Connected (n,m) ( n , m ) -graphs with minimum and maximum zeroth-order general Randi? index ?
Let G  be a graph and d(v) d ( v ) denote the degree of a vertex v v in G . Then the zeroth-order general Randi? index R ? 0 ( G ) of the graph G  is defined as ?v?V(G)d(v)? ? v ? V ( G ) d ( v ) ? , where ? ? is a pertinently chosen real number. We characterize, for any ? ? , the connected (n,m) ( n , m ) -graphs with minimum and maximum R ? 0 .
m molecular structure descriptor zetoth-order general randi? index extremal (n m n m )-graph n degree sequence