Distributive lattices of small width, II: A problem from Stanley's 1986 text Enumerative Combinatorics

  • Authors:
  • Jonathan David Farley;Ryan Klippenstine

  • Affiliations:
  • Department of Applied Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, United States and Center for International Security and Cooperation, Stanford University, 616 Serra S ...;Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba R7A 6A9, Canada

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2009

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Abstract

In Richard P. Stanley's 1986 text, Enumerative Combinatorics, the following problem is posed: Fix a natural number k. Consider the posets P of cardinality n such that, for 0