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Disjoint paths in a rectilinear grid

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Abstract

We give a good characterization and a good algorithm for a special case of the integral multicommodity flow problem when the graph is defined by a rectangle on a rectilinear grid. The problem was raised by engineers motivated by some basic questions of constructing printed circuit boards.

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Authors and Affiliations

  1. Research Inst. for Telecommunication, Gábor Á. u. 65-67, H-1026, Budapest, Hungary

    A Frank

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  1. A Frank
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Additional information

Dedicated to Tibor Gallai on his seventieth birthday

Research partly supported by Sonderforschungsbereich 21 (DFG), Institute für Operations Research, Universität Bonn, West Germany.

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Frank, A. Disjoint paths in a rectilinear grid. Combinatorica 2, 361–371 (1982). https://doi.org/10.1007/BF02579432

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  • DOI: https://doi.org/10.1007/BF02579432

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