Medians and Majorities in Semimodular Posets

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Bruno Leclerc proved that a finite lattice is upper semimodular if and only if, for any profile π and for any π-median m, the inequality c1/2(π) ≤ m holds where c1/2(π) denotes the value of the majority rule at π. We generalize this fact to posets. © 2000.

Author-supplied keywords

  • majority
  • median
  • semimodular poset

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