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math.CO2025
Extending Results on Wilf-Equivalence of Partial Shuffles
Michael Albert, Dominic Searles, Matthew Slattery-Holmes
In 2020, Bloom and Sagan defined subsets of the symmetric group called partial shuffles, and proved a formula for the Schur expansion of the pattern quasisymmetric…
math.CO2006
Permutation Classes of Polynomial Growth
M. H. Albert, M. D. Atkinson, Robert Brignall
A pattern class is a set of permutations closed under the formation of subpermutations. Such classes can be characterised as those permutations not involving a particular set of fo…
math.CO2006
Monotonic Sequence Games
M. Albert, R. Aldred, M. Atkinson +4
In a monotonic sequence game, two players alternately choose elements of a sequence from some fixed ordered set. The game ends when the resulting sequence contains either an ascend…