5 citations · 11 across the 9 of their papers we have counts for
4 papers · 2 filters
The -colored composition poset
Brian Drake, T. Kyle Petersen
We generalize Björner and Stanley's poset of compositions to -colored compositions. Their work draws many analogies between their (1-colored) composition poset and Young's latti…
Enriched -partitions and peak algebras (extended abstract)
T. Kyle Petersen
We generalize Stembridge's enriched -partitions and use this theory to outline the structure of peak algebras for the symmetric group and the hyperoctahedral group. Whereas Stem…
A note on three types of quasisymmetric functions
T. Kyle Petersen
In the context of generating functions for -partitions, we revisit three flavors of quasisymmetric functions: Gessel's quasisymmetric functions, Chow's type B quasisymmetric fun…
Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations
Sergey Kitaev, Tyrrell B. McAllister, T. Kyle Petersen
A composition of a nonnegative integer (n) is a sequence of positive integers whose sum is (n). A composition is palindromic if it is unchanged when its terms are read in reverse o…