Generalized Zagreb index of product graphs

Abstract

‎‎The generalized Zagreb index is an extension of both ordinary and‎ ‎variable Zagreb indices‎. ‎In this paper‎, ‎we present exact formulae‎ ‎for the values of the generalized Zagreb index for product graphs‎. ‎Results are applied to some graphs of general and chemical‎ ‎interest such as nanotubes and nanotori‎.

Keywords

• vertex degree
• graph operation
• nanotube
• nanotorus