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math.CO2024
Exponential odd-distance sets under the Manhattan metric
Alberto Espuny Díaz, Emma Hogan, Freddie Illingworth +3
We construct a set of points in such that all pairwise Manhattan distances are odd integers, which improves the recent linear lower bound of Golovanov, Kupavsk…
math.CO2024
Descents and inversions in powers of permutations
Stijn Cambie, Jun Yan
In this paper, we generalise several recent results by Archer and Geary on descents in powers of permutations, and confirm all their conjectures. Specifically, for all $k\in\mathbb…
math.CO2024★ 1 cited
Results on pattern avoidance in parking functions
Jun Yan
In this paper, we mainly study two notions of pattern avoidance in parking functions. First, for any collection of length 3 patterns, we compute the number of parking functions of…