The congestion of n-cube layout on a rectangular grid

  title={The congestion of n-cube layout on a rectangular grid},
  author={Sergei L. Bezrukov and Joe D. Chavez and L. H. Harper and Markus R{\"o}ttger and Ulf-Peter Schroeder},
  journal={Discrete Mathematics},
We consider the problem of embedding the n-dimensional cube into a rectangular grid with 2n vertices in such a way as to minimize the congestion, the maximum number of edges along any point of the grid. After presenting a short solution for the cutwidth problem of the n-cube (in which the n-cube is embedded into a path), we show how to extend the results to give an exact solution for the congestion problem. 

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Optimal assignments of numbers to vertices

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