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A Parallel Routing Algorithm on 2-Circulant Networks Employing the Hamiltonian Circuit Latin Square

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3320))

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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; ±s 1s 2, ...,±s k ), where the i th packet will traverse along the i th path (1 ≤ i ≤ 2k). In oder for all packets to arrive at the destination node quickly and 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) we present O(n 2) parallel routing algorithm on circulant networks.

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© 2004 Springer-Verlag Berlin Heidelberg

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Cho, Y., Tak, D., Chung, I. (2004). A Parallel Routing Algorithm on 2-Circulant Networks Employing the Hamiltonian Circuit Latin Square. In: Liew, KM., Shen, H., See, S., Cai, W., Fan, P., Horiguchi, S. (eds) Parallel and Distributed Computing: Applications and Technologies. PDCAT 2004. Lecture Notes in Computer Science, vol 3320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30501-9_61

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  • DOI: https://doi.org/10.1007/978-3-540-30501-9_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24013-6

  • Online ISBN: 978-3-540-30501-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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