The perimeter and the site-perimeter of set partitions

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In this paper, we study the generating function for the number of set partitions of [n] represented as bargraphs according to the perimeter/site-perimeter. In particular, we find explicit formulas for the total perimeter and the total site-perimeter over all set partitions of [n].

Original languageAmerican English
Article number#P2.30
JournalElectronic Journal of Combinatorics
Issue number2
StatePublished - 2019

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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