A single source shortest path algorithm for a planar distributed network

  • Greg N. Frederickson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 182)


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  1. [AR]
    J. M. Abram and I. B. Rhodes, A decentralized shortest path algorithm, Proc. 16th Allerton Conf. on Comm., Control and Computing (1978) 271–277.Google Scholar
  2. [AG]
    B. Awerbach and R. Gallager, O(E + V 1.6) distributed breadth-first search, draft (1984).Google Scholar
  3. [D]
    E. W. Dijkstra, A note on two problems in connexion with graphs, Numerische Mathematik 1 (1959) 269–271.Google Scholar
  4. [Fs1]
    G. N. Frederickson, Shortest path problems in planar graphs, Proc. 24th IEEE Symp. on Foundations of Computer Science, Tucson (Nov. 1983) 242–247.Google Scholar
  5. [Fs2]
    G. N. Frederickson, Fast algorithms for shortest paths in planar graphs, with applications, Purdue University CSD TR 486 (July 1984).Google Scholar
  6. [Fm]
    D. V. Friedman, Communication complexity of distributed shortest path algorithms, LIDS-TH-886, Mass. Inst. Tech. (1979).Google Scholar
  7. [G]
    R. G. Gallager, Distributed minimum hop algorithms, MIT technical report LIDS-P-1175 (1982).Google Scholar
  8. [GHS]
    R. G. Gallager, P. Humblet, and P. Spira, A distributed algorithm for minimum weight spanning trees, ACM Trans. Prog. Lang. Sys. 5, 1 (January 1983) 66–77.Google Scholar
  9. [J]
    D. B. Johnson, Efficient algorithms for shortest paths in sparse networks, J. ACM 24, 1 (January 1977) 1–13.Google Scholar
  10. [LT1]
    R. J. Lipton and R. E. Tarjan, A separator theorem for planar graphs, SIAM J. Appl. Math. 36, 2 (April 1979) 177–189.Google Scholar
  11. [LT2]
    R. J. Lipton and R. E. Tarjan, Applications of a planar separator theorem, SIAM J. Comput. 9, 3 (August 1980) 615–627.Google Scholar
  12. [T]
    S. Toueg, An all-pairs shortest-path distributed algorithm, RC-8397, IBM T. J. Watson Res. Center (1980).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Greg N. Frederickson
    • 1
  1. 1.Department of Computer SciencesPurdue UniversityWest Lafayette

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