Statistics in Weak Ascent Sequences

Weak ascent sequences are a generalization of ascent sequences that appear in many combinatorial problems. In this paper, we give a method to find generating functions that count how often a given statistic τ appears in weak ascent sequences of length n, keeping track of the number of weak ascents, where τ is the number of levels, ascents, descents, and weak descents.

Authors

Institutions

Publication Details

Journal
Mathematics
Published
2026-04-20
DOI
https://doi.org/10.3390/math14081378
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Statistics in Weak Ascent Sequences

Toufik Mansour
Mathematics
Advanced Combinatorial Mathematics
article

Statistics in Weak Ascent Sequences

Toufik Mansour
article en

Abstract

Weak ascent sequences are a generalization of ascent sequences that appear in many combinatorial problems. In this paper, we give a method to find generating functions that count how often a given statistic τ appears in weak ascent sequences of length n, keeping track of the number of weak ascents, where τ is the number of levels, ascents, descents, and weak descents.

MathematicsVol. 14(8)
University of Haifa (IL)
Openalex Percentile: Top 12%
Advanced Combinatorial Mathematics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.