University of Isfahan Transactions on Combinatorics 2251-8657 8 4 2019 12 01 Generalized Zagreb index of product graphs 35 48 24024 10.22108/toc.2019.116001.1625 EN Mahdieh Azari Kazerun Branch, Islamic Azad University 0000-0002-0919-0598 Journal Article 2019 03 11 ‎‎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. Vertex degree graph operation nanotube nanotorus https://toc.ui.ac.ir/article_24024_bcdf8c66d8da47e8cdf5362669ab0f75.pdf