Wide diameters of butterfly networks

Abstract

Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w - 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to measure network reliability and efficiency. In this paper, we study wide diameters for an important class of parallel networks -butterfly networks. The main result of this paper is to determine their wide diameters.