Randić index and information

Abstract

The Randić index R G is one of the classical graph-based molecular structure descriptors that found countless applications in chemistry and pharmacology. The mathematical background of this index is also well elaborated. We now point out a hitherto unnoticed feature of R G , namely its connection with the degree-based information content of a (molecular) graph. This connection is based on the linear correlation betweenR G and the logarithm of the multiplicative version of the Randić index. Keywords: Randić index, Information content of molecular graph, Multiplicative Randić index