Node-to-Set Disjoint Paths Routing in Dual-Cube

Abstract

In this paper, we propose an efficient algorithm that finds disjoint paths for node-to-set routing in dual-cube. Dual-cube is a hypercube-like interconnection network with about half of links per node compared with the hypercube containing equal number of nodes. For a dual-cube Dn with n links per node, the algorithm finds n disjoint paths, s rarr ti, 1 les i les n, in 0(n2 log n) time and the maximum length of the paths is bounded by 3n + 3.