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Rearrangement Inequalities and the Alternahedron

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Abstract

We formulate and prove a rearrangement type inequality and use it to give a description of the face lattice of a certain polytope that is naturally associated to the alternating group An.

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Correspondence to James Cruickshank or Seamus Kelly.

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Cruickshank, J., Kelly, S. Rearrangement Inequalities and the Alternahedron. Discrete Comput Geom 35, 241–254 (2006). https://doi.org/10.1007/s00454-005-1199-6

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Keywords

  • Computational Mathematic
  • Type Inequality
  • Face Lattice
  • Rearrangement Inequality
  • Rearrangement Type