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

Sela Fried; Toufik Mansour

doi:https://doi.org/10.47443/dml.2023.218

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

Sela Fried, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-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 language	American English
Pages (from-to)	44-49
Number of pages	6
Journal	Discrete Mathematics Letters
Volume	13
DOIs	https://doi.org/10.47443/dml.2023.218
State	Published - 1 Jan 2024

Keywords

generating function
word

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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https://doi.org/10.47443/dml.2023.218

Cite this

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title = "The total number of descents and levels in (cyclic) tensor words",

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.",

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AU - Fried, Sela

AU - Mansour, Toufik

PY - 2024/1/1

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N2 - 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.

AB - 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.

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U2 - https://doi.org/10.47443/dml.2023.218

DO - https://doi.org/10.47443/dml.2023.218

M3 - Article

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VL - 13

SP - 44

EP - 49

JO - Discrete Mathematics Letters

JF - Discrete Mathematics Letters

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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