A parallel routing algorithm on 2-circulant networks employing the hamiltonian circuit latin square

Authors:
Youngjoo Cho;Dongkil Tak;Ilyong Chung
Affiliations:
Department of Computer Science, Chosun University, Kwangju, Korea;Department of Computer Science, Chosun University, Kwangju, Korea;Department of Computer Science, Chosun University, Kwangju, Korea
Venue:
PDCAT'04 Proceedings of the 5th international conference on Parallel and Distributed Computing: applications and Technologies
Year:
2004

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Abstract

In this paper, we investigate the routing of a message on circulant networks, that is a key to the performance of this network. We would like to transmit 2k packets from a source node to a destination node simultaneously along paths on G(n; ±s1,±s2, ...,±sk), where the ith packet will traverse along the ith path (1 ≤ i ≤ 2k). In oder for all packets to arrive at the destination node quickly and securely, the ith path must be node-disjoint from all other paths. For construction of these paths, employing the Hamiltonian Circuit Latin Square(HCLS) we present O(n2) parallel routing algorithm on circulant networks.