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A distributed algorithm for edge-disjoint path problem

  • Session 5 Distributed Computing
  • Conference paper
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 241))

Abstract

A distributed algorithm for finding two edge-disjoint paths from a given vertex to all other vertices of a biconnected graph G=(V, E) is presented in this paper. The problem is divided into three sub-problems viz., i) Breadth-First Search ii) Edge Designation iii) Disjoint path Detection. The algorithms for all the three sub-problems require O(d) time where d is the diameter of graph. The communication complexity for the first sub-problem is O(d | E | ).The second and the third sub-problems have O(| V|) and O(|V||E|) message complexities respectively.

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References

  1. Dijkstra E.W. and C.S.Scholten; Terminal Detection for Diffusing Computations; Info. Proc. Letters; Vol. 11, No. 1, 1980.

    Google Scholar 

  2. Ernest J.H. Chang; Echo Algorithms: Depth Parallel Operations on General Graphs, IEEE Trans. on Soft. Eng., Vol. SE-8, No.4, July 1982, 391–401.

    Google Scholar 

  3. E.Korach, D.Rotem and N.Sontoro; Distributed Election in a Circle without a Global Sense of Orientation; Intern. J.Computer Math., Vol. 16, 115–124.

    Google Scholar 

  4. Jurgen Ebert; A Linear Disjoint Path Algorithm; Osnabrucker Schrifien Zur Mathematick, Heft 43, 1982, 1–9.

    Google Scholar 

  5. K.M. Chandy and J. Misra; Distributed Computations on Graphs: Shortest Path Algorithms; Comm. of the ACM, Vol.25, No.11, Nov.1982, 833–837.

    Google Scholar 

  6. R.G. Gallager, P.A. Humblet and P.M. Spira; A Distributed Algorithm for Minimum-Weight Spanning Trees; Acm Tr. on Prog. lang. and Systems, Vol.5, No.1, Jan. 1983, 66–67.

    Google Scholar 

  7. To-Yat Cheung; Graph Traversal Techniques and the Maximum Flow Problem in Distributed Computation; IEEE Trans. on Soft. Eng., Vol. SE-9, No.4, July, 1983, 504–512.

    Google Scholar 

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Kesav V. Nori

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© 1986 Springer-Verlag Berlin Heidelberg

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Mohanty, H., Bhattacharjee, G.P. (1986). A distributed algorithm for edge-disjoint path problem. In: Nori, K.V. (eds) Foundations of Software Technology and Theoretical Computer Science. FSTTCS 1986. Lecture Notes in Computer Science, vol 241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17179-7_21

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  • DOI: https://doi.org/10.1007/3-540-17179-7_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17179-9

  • Online ISBN: 978-3-540-47239-1

  • eBook Packages: Springer Book Archive

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