Packing the hypercube

نویسنده

  • David Offner
چکیده

Let G be a graph that is a subgraph of some n-dimensional hypercube Qn. For sufficiently large n, Stout [20] proved that it is possible to pack vertexdisjoint copies of G in Qn so that any proportion r < 1 of the vertices of Qn are covered by the packing. We prove an analogous theorem for edge-disjoint packings: For sufficiently large n, it is possible to pack edge-disjoint copies of G in Qn so that any proportion r < 1 of the edges of Qn are covered by the packing.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2014