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Levels, ascents, and descents in restricted-growth words of type B

Toufik Mansour, Amir Safadi

Source record

Source: Crossref

Published: Aug 11, 2026

DOI: 10.61091/ojac21-06

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Source abstract

In this paper, we enumerate restricted-growth words of type B associated with signed set partitions with respect to several statistics related to levels, ascents, and descents. For each case, we investigate these words according to four types of statistics and study the total of each statistic individually. Furthermore, we determine both the ordinary and the exponential generating functions for the total of each statistic under consideration.

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