Wide diameters of butterfly networks

Abstract

Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter d(w)(G), the (w - I)-fault diameter D-w(G), and the w-Rabin number r(w)(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.