From the 1 of 8 linked papers with an AI index.
7 papers · 1 filter
Shuffle-compatibility for combinatorial statistics on words, parking functions, and set partitions
Spencer Daugherty, Jinting Liang
The paper defines weak and shifted shuffle-compatibility for statistics on words, parking functions, and set partitions, extending previous work on permutations, and connects these…
Lexical tableaux and quasisymmetric functions
John M. Campbell, Spencer Daugherty
There is a natural bijection between standard immaculate tableaux of composition shape and length and the $ \left\{ \begin{smallmatrix} n \\ k \end{smal…
Dimensions of toggleability spaces
Ben Adenbaum, Spencer Daugherty, Nicholas Mayers
We establish a conjecture of Defant, Hopkins, PoznanoviÄ, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root poset…
A Hopf algebra generalization of the symmetric functions in partially commutative variables
Spencer Daugherty
The quasisymmetric functions, , are generalized for a finite alphabet by the colored quasisymmetric functions, , in partially commutative variables. Their dual, $…
Extended Schur functions and bases related by involutions
Spencer Daugherty
We introduce two new bases of QSym, the flipped extended Schur functions and the backward extended Schur functions, as well as their duals in NSym, the flipped shin functions and t…
Metered Parking Functions
Spencer Daugherty, Pamela E. Harris, Ian Klein +1
We introduce a generalization of parking functions called -metered -parking functions, in which one of cars parks among spots per hour then leaves after hours…