Combinations as bargraphs

Toufik Mansour, Armend Sh Shabani

Research output: Contribution to journalArticlepeer-review


In this paper, we consider statistics on combinations of [n] when combinations are presented as bargraphs. The statistics we consider are cardinality of a combination, semi-perimeter, outer site-perimeter, and inner site-perimeter. We find an explicit formula for the generating function for the number of combinations of [n] according to the considered statistics. We also find an explicit formula for the total of the above statistics over all combinations of [n].

Original languageEnglish
Pages (from-to)106-110
Number of pages5
JournalDiscrete Mathematics Letters
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 the authors.


  • Bargraphs
  • Combinations
  • Inner site-perimeter
  • Outer site-perimeter
  • Site-perimeter

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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