The resistance between two nodes in some electronic networks has been studied extensively. Let G(n) be a generalized phenylene with n 6-cycles and n 4-cycles. Using series and parallel rules and the Delta - Y transformations we obtain explicit formulae for the resistance distance between any two points of G(n). To the best of our knowledge {G(n)}(n=1)(infinity) is a nontrivial family with diameter going to infinity for which all resistance distances have been explicitly calculated. We also determine the maximal resistance distance and the minimal resistance distance in G(n). The monotonicity a...
