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A generalized recursive circulant network(GR) is widely used in the design and implementation of local area networks and parallel processing architectures. In this paper, we investigate the routing of a message on this network, that is a key to the performance of this network. We would like to transmit maximum number of packets from a source node to a destination node simultaneously along paths on this network, where the i th packet traverses along the i th path. In order for all packets to arrive at the destination node securely, the i th path must be node-disjoint from all other paths. For construction of these paths, employing the Hamiltonian Circuit Latin Square(HCLS), a special class of (n x n) matrices, we present O(n 2 ) parallel routing algorithm on generalized recursive circulant networks.

Application of the Hamiltonian circuit Latin square to a Parallel Routing Algorithm on Generalized Recursive Circulant Networks