Abstract
Recursive cube of rings (RCR) networks [Y. Sun, P. Cheung, X. Lin, Recursive cube of rings: a new topology for interconnection networks, IEEE Trans. Parallel Dist. Syst. 11 (3) (2000) 275–286] can be widely used in the design and implementation of parallel processing architectures. In this paper, we investigate the routing of a message on RCR networks, that is a key to the performance of this network. We would like to transmit k + 1 packets from a source node to a destination node simultaneously along paths on RCR networks, the ith packet will traverse along the ith path ( 1 ⩽ i ⩽ k + 1 ) . In order for all packets to arrive at a destination node quickly and securely, the ith path must be node-disjoint from all other paths. For construction of these paths, employing Hamiltonian circuit Latin square (HCLS), we present O ( n 2 ) parallel routing algorithm on RCR networks.
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