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Mirror Variations on Catalan Multijections

2026/08/01 by Muhammad Adam Dombrowski
Mathematics · #math.CO #msc:05A18

paper · pdf

26 pages, 17 figures

arxiv created 2026/08/01 · arxiv updated 2026/08/04

Abstract

A Catalan multijection is a way to partition a set of \binom2nn objects into equivalence classes of size n+1, where each equivalence class has exactly one distinct Catalan object. Isaak and Langley investigated when two multijections produced the same partitions in an unpublished manuscript. We propose some new multijections for which we get different partitions from previously discovered multijections.