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

  • Conference paper
Parallel and Distributed Computing: Applications and Technologies (PDCAT 2004)

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 1,±s 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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References

  1. Bermond, J., Comellas, F., Hsu, D.: Distributed Loop Computer Networks: A Survey. J. Parallel and Distributed Computing (24), 2–10 (1995)

    Google Scholar 

  2. Park, J.: Cycle Embedding of Faulty Recursive Circulants. J. of Korea Info. Sci. Soc. 31(2), 86–94 (2004)

    Google Scholar 

  3. Basse, S.: Computer Algorithms: Introduction to Design and Analysis. Addition-Wesley, Reading (1978)

    Google Scholar 

  4. Stallings, W.: Data and Computer Communications. Macmillan Publishing Company, New York (1985)

    Google Scholar 

  5. Bae, M., Bose, B.: Edge Disjoint Hamiltonian Cycles in k-ary n-cubes and Hypercubes. IEEE Trans. Comput. 52(10), 1259–1270 (2003)

    Article  MathSciNet  Google Scholar 

  6. Thottethodi, M., Lebeck, A., Mukherjee, S.: Exploiting Global Knowledge to Achieve Self-Tuned Congetion Control for k-ary n-cube Networks. IEEE Trans. Parallel and Distributed Systems 15(3), 257–272 (2004)

    Article  Google Scholar 

  7. Johnson, S.L., Ho, C.-T.: Optimum Broadcasting and Personalized Communication in Hypercube. IEEE Trans. Comput. 38(9), 1249–1268 (1989)

    Article  MathSciNet  Google Scholar 

  8. Rabin, M.O.: Efficient Dispersal of Information for Security, Load Balancing, and Fault Tolerance. J. ACM 36(2), 335–348 (1989)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computer Science, Chosun University, Kwangju, Korea

    Youngjoo Cho, Dongkil Tak & Ilyong Chung

Authors
  1. Youngjoo Cho
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  2. Dongkil Tak
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  3. Ilyong Chung
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Editor information

Editors and Affiliations

  1. Nanyang Centre for Supercomputing and Visualisation School of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639 798, Singapore

    Kim-Meow Liew

  2. School of Computer Science, The University of Adelaide,  

    Hong Shen

  3. Asia Pacific Science and Technology Center, Sun Microsystems Inc., 50 Nanyang Avenue, N3-1c-10, 639798, Singapore

    Simon See

  4. School of Computer Engineering, Nanyang Technological University, 639798, Singapore

    Wentong Cai

  5. Southwest Jiaotong University,  

    Pingzhi Fan

  6. Tohoku University ,  

    Susumu Horiguchi

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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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