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The two disjoint path problem and wire routing design

  • T. Ohtsuki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 108)

Abstract

A new polynomial time algorithm is presented for finding two vertex-disjoint paths between two specified pairs of vertices on an undirected graph. An application of the two disjoint path algorithm to the automatic wire routing is also discussed.

References

  1. [1]
    Karp, R.M., "On the complexity of combinatorial problems", Networks 5, pp. 45–68 (1975).Google Scholar
  2. [2]
    Lynch, J.F., "The equivalence of theorem proving and the interconnection problem", ACM SIGDA Newsletter 5: 3 (1975).Google Scholar
  3. [3]
    Perl, Y. and Shiloach, Y., "Finding two disjoint paths between two pairs of vertices in a graph", J. Assoc. Comput. Mach. 25, pp. 1–9 (1978).Google Scholar
  4. [4]
    Shiloach, Y., "A polynominal solution to the undirected two paths problem", ibid. 27, pp. 455–56 (1980).Google Scholar
  5. [5]
    Even, S. and Tarjan, R.E., "Network flow and testing graph connectivity", SIAM J. Comput. 4, pp. 507–18 (1975).Google Scholar
  6. [6]
    Auslander, L. and Parter, S.V., "On imbedding graphs in the sphere", J. Math. Mech. 10, pp. 517–23 (1961).Google Scholar
  7. [7]
    Fisher, G.J. and Wing, O., "Computer recognition and extraction of planar graphs from the incidence matrix", IEEE Trans. CT-13, pp. 154–63 (1966).Google Scholar
  8. [8]
    Hopcroft, J.E. and Tarjan, R.E., "Efficient planarity testing", J. ACM 21, pp. 549–68 (1974).Google Scholar
  9. [9]
    Tarjan, R.E., "Depth-first search and linear graph algorithms", SIAM J. Comput. 1, pp. 146–60 (1972).Google Scholar
  10. [10]
    Johnson, D.R., "PC board layout techniques", Proc. 16th Design Automation Conf., pp. 337–43 (1979).Google Scholar
  11. [11]
    Lee, C.Y., "An algorithm for path connections and its applications", IRE Trans. EC-10, pp. 346–65 (1961).Google Scholar
  12. [12]
    Mori, H., et. al., "BRAIN: An advanced interactive layout design system for printed wiring boards", to be presented at the IEEE Internat. Conf. on Circuits and Computors (1980).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • T. Ohtsuki
    • 1
  1. 1.Dept. of Electronics and Communication Engineering School of Science and EngineeringWaseda UniversityTokyoJapan

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