An Inherently Stabilizing Algorithm for Node-To-Node Routing over All Shortest Node-Disjoint Paths in Hypercube Networks

The node-disjoint paths problem deals with finding node-disjoint paths from a source node s to target node t, where t ¿ s. Two paths from s to t are said to be node-disjoint iff they do not have any common vertices except for their endpoints. Distributed solutions to the node-disjoint paths problem have numerous applications such as secure message transmission, reliable routing, and network survivability. In this paper, we present a simple distributed algorithm that is both stabilizing and inherently stabilizing under a realistic model that describes system interfaces and implementation issues in detail to route messages over all shortest node-disjoint paths from one process to another in an n-dimensional hypercube network.