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Pattern restricted parking functions with limited preferences

Kassie Archer, Robert Laudone

Source record

Source: arXiv

Published: Oct 1, 2026

arXiv: 2610.02489

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Source abstract

A parking function is said to have ℓ\ell-limited preferences if there are at most ℓ\ell copies of each element in the parking function. In this paper, we define a notion of pattern avoidance for parking functions and enumerate those 22-limited parking functions that avoid certain patterns.

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Pattern restricted parking functions with limited preferences — Mathematical Frontier Network