Routing and Wavelength Assignment for Exchanged Hypercubes in Linear Array Optical Networks

Abstract : The exchanged hypercube, denoted by EH(s, t), is a new interconnection network obtained by systematically removing links from the hypercube, while preserves many appealing properties. This paper addresses the routing and wavelength assignment for realizing exchanged hypercubes communication patterns on linear array WDM optical networks. By using congestion estimation, we derive a lower bound of the minimum number of required wavelengths, and propose an optimal wavelength assignment algorithm that uses 2s + t − 1 + $\lfloor$2t/3$\rfloor$ wavelengths.