4 papers
Multivalued forbidden numbers of two-rowed configurations -- the missing cases
Wallace Peaslee, Attila Sali, Jun Yan
The present paper considers extremal combinatorics questions in the language of matrices. An -matrix is a matrix with entries in . An -matrix is simple i…
Lattice paths enumerations weighted by ascent lengths
Jun Yan
Recent work of the author connected several parking function enumeration problems to enumerations of Catalan paths with respect to certain weight functions that are expressed in te…
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…
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…