Inversion sequences avoiding 012 (001) and another pattern of length four

We study the enumeration of inversion sequences that avoid the pattern 001 (012) and another pattern of length four.We determine the generating trees for all the relevant possible pattern pairs and compute the corresponding generating functions. Moreover, we present direct counting arguments for several results.

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Publication Details

Journal
The Art of Discrete and Applied Mathematics
Published
2025-09-23
DOI
https://doi.org/10.26493/2590-9770.1850.d79
Primary Topic
graph theory and CDMA systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Inversion sequences avoiding 012 (001) and another pattern of length four

David Callan, Toufik Mansour
The Art of Discrete and Applied Mathematics
graph theory and CDMA systems
article

Inversion sequences avoiding 012 (001) and another pattern of length four

David Callan, Toufik Mansour
article en

Abstract

We study the enumeration of inversion sequences that avoid the pattern 001 (012) and another pattern of length four.We determine the generating trees for all the relevant possible pattern pairs and compute the corresponding generating functions. Moreover, we present direct counting arguments for several results.

The Art of Discrete and Applied Mathematics
University of Haifa (IL)
Openalex Percentile: Top 74%
graph theory and CDMA systems
DOIOpen Access PDFOpenAlex
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Inversion sequences avoiding 012 (001) and another pattern of length four — David Callan, Toufik Mansour · The Art of Discrete and Applied Mathematics (2025) | TGRS Research Map | TGRS