Maximal dimensional partially ordered sets II. characterization of 2n-element posets with dimension n

نویسندگان

  • Kenneth P. Bogart
  • William T. Trotter
چکیده

In this paper, we show that if a partially ordered set has 2n elements and has dimension n, then it is isosnorphic to the set of n-l element subsets and lelement subsets of a sef, ordered by inclusion, or else it has six elements and is isomorphic to a partially ordered b;i we call the chevron or to its dual.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 5  شماره 

صفحات  -

تاریخ انتشار 1973