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2024 | OriginalPaper | Chapter

Passing Drops and Descents

Authors : Cailyn Bass, Steve Butler

Published in: Combinatorics, Graph Theory and Computing

Publisher: Springer Nature Switzerland

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Abstract

We consider generalizations of drops and descents from permutations to arrangements of sets with repetition. We also establish a generalization of Worpitzky’s identity in the special case when all elements in the set repeat equally often by way of counting passing patterns among jugglers in two different ways.

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previous chapter A Walk Through Some Newer Parts of Additive Combinatorics

next chapter Group Divisible Designs with Three Groups and Block Size 4

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Title: Passing Drops and Descents
Authors: Cailyn Bass
Steve Butler
Publisher: Springer Nature Switzerland
Book: Combinatorics, Graph Theory and Computing
Print ISBN: 978-3-031-62165-9

Electronic ISBN: 978-3-031-62166-6

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-62166-6_3

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