3 papers
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.CO2025
Pattern-Avoiding Peak Functions
Matthew Slattery-Holmes
In 2020, Hamaker, Pawlowski, and Sagan introduced the \emph{pattern quasisymmetric functions}, which are quasisymmetric functions associated with pattern-avoidance classes of permu…
math.CO2024
Expanding quasisymmetric Schur -functions into peak Young quasisymmetric Schur functions
Dominic Searles, Matthew Slattery-Holmes
The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur -functions and…