Interior vertices in set partitions

Research output: Contribution to journalArticlepeer-review


In this paper, we study the generating function for the number of set partitions of [n] represented as bargraphs according to the number of interior vertices. In particular, we find an explicit formula for the total number of interior vertices over set partitions of [n].

Original languageEnglish
Pages (from-to)60-69
Number of pages10
JournalAdvances in Applied Mathematics
StatePublished - Oct 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.


  • Bargraphs
  • Generating functions
  • Interior vertices
  • Set partitions

ASJC Scopus subject areas

  • Applied Mathematics


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