Polytopes related to the l∞-distance between vectors

  • Authors:

  • Geir Dahl

  • Affiliations:

  • Department of Informatics, University of Oslo, P.O. Box 1080, Blindern, 0316 Oslo, Norway

  • Venue:
  • Operations Research Letters
  • Year:
  • 1998

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Abstract

Let K=K"nxK"nx[0,1]@?R^2^n^+^1 where K"n is the standard simplex in R^n, i.e., K"n={x@?R"+^n:@?j=1nx"j=1}. We consider the set P@?R^2^n^+^1 given by P={(x,y,z)@?K:@?x-y@?"~=