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The assignment polytope

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References

  1. M.L. Balinski and A. Russakoff, Some properties of the assignment polytope,Mathematical Programming 3 (1972) 257–258.

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  3. R.A. Brualdi and P.M. Gibson, The convex polyhedron of doubly stochastic matrices: I. Applications of the permanent function,Journal of Combinatorial Theory (A), to appear.

  4. R.A. Brualdi and P.M. Gibson, The convex polyhedron of doubly stochastic matrices: II. The graph ofΩ n, Journal of Combinatorial Theory (B), to appear.

  5. R.A. Brualdi and P.M. Gibson, The convex polyhedron of doubly stochastic matrices: III. Affine and combinatorial properties ofΩ n,Journal of Combinatorial Theory (A), to appear.

  6. H. Minc, On lower bounds for permanents of (0, 1)-matrices,Proceedings of the American Mathematical Society 22 (1969) 117–123.

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Authors and Affiliations

  1. University of Wisconsin, Madison, WI, USA

    Richard A. Brualdi

  2. University of Alabama in Huntsville, Huntsville, AL, USA

    Peter M. Gibson

Authors
  1. Richard A. Brualdi
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  2. Peter M. Gibson
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Additional information

Research partially supported by National Science Foundation Grant No. GP-37978X.

Research conducted while on sabbatical leave at the University of Wisconsin.

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Brualdi, R.A., Gibson, P.M. The assignment polytope. Mathematical Programming 11, 97–101 (1976). https://doi.org/10.1007/BF01580375

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  • DOI: https://doi.org/10.1007/BF01580375

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