Medians and Majorities in Semimodular Posets

  • Powers R
  • 3

    Readers

    Mendeley users who have this article in their library.
  • 0

    Citations

    Citations of this article.

Abstract

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

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free