The total number of descents and levels in (cyclic) tensor words

Sela Fried, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

Abstract

We obtain an explicit formula for the total number of descents and levels in (cyclic) tensor words of arbitrary dimension. We also determine the maximal number of cyclic descents in cyclic tensor words. Furthermore, we establish a lower bound and an upper bound on the maximal number of descents in tensor words.

Original languageEnglish
Pages (from-to)44-49
Number of pages6
JournalDiscrete Mathematics Letters
Volume13
DOIs
StatePublished - 1 Jan 2024
Externally publishedYes

Keywords

  • generating function
  • word

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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