Nested chain partitions of LYM posets

  • Authors:

  • Yi Wang

  • Affiliations:

  • Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2005

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Abstract

A long-standing conjecture states that all LYM posets possess nested chain partitions. We verify this conjecture for posets of rank 2.