Spencer Daugherty

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20232026

most citedExtended Schur functions and bases related by involutions

1 citations · 1 across the 9 of their papers we have counts for

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9 papers · 1 filter

math.CO2026

Counting and constructing Latin tableaux

Spencer Daugherty, Michaela Fahnesock, Shawn Huxtable +3

Latin tableaux generalize Latin squares to Young diagrams and have interesting connections to linear algebra and Rota's basis conjecture. Conjecturally, a partition admits Latin ta…

math.CO2026

Shuffle-compatibility for combinatorial statistics on words, parking functions, and set partitions

Spencer Daugherty, Jinting Liang

We introduce notions of (weak) shuffle-compatibility for statistics on words, parking functions, and set partitions, generalizing Gessel and Zhuang's shuffle-compatibility for stat…

math.CO2025

Lexical tableaux and quasisymmetric functions

John M. Campbell, Spencer Daugherty

There is a natural bijection between standard immaculate tableaux of composition shape $α ⊨ n$ and length $ℓ (α) = k$ and the $ \left\{ \begin{smallmatrix} n \\ k \end{smallm…

math.CO2025

Dimensions of toggleability spaces

Ben Adenbaum, Spencer Daugherty, Nicholas Mayers

We establish a conjecture of Defant, Hopkins, Poznanović, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root posets…

math.CO2024

A Hopf algebra generalization of the symmetric functions in partially commutative variables

Spencer Daugherty

The quasisymmetric functions, $QS y m$ , are generalized for a finite alphabet $A$ by the colored quasisymmetric functions, $QS y m_{A}$ , in partially commutative variables. Their dual, $…

math.CO2024

Metered Parking Functions

Spencer Daugherty, Pamela E. Harris, Ian Klein +1

We introduce a generalization of parking functions called $t$ -metered $(m, n)$ -parking functions, in which one of $m$ cars parks among $n$ spots per hour then leaves after $t$ hours…

math.CO2024

Combinatorics of generalized parking-function polytopes

Margaret M. Bayer, Steffen Borgwardt, Teressa Chambers +8

For $b = (b_{1}, \dots, b_{n}) \in Z_{> 0}^{n}$ , a $b$ -parking function is defined to be a sequence $(β_{1}, \dots, β_{n})$ of positive integers whose nondecreasing rearra…

math.CO2024★ 1 cited

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…

math.CO2023

A generalization of the dual immaculate quasisymmetric functions in partially commutative variables

Spencer Daugherty

We define a new pair of dual bases that generalize the immaculate and dual immaculate bases to the colored algebras $QS y m_{A}$ and $N S y m_{A}$ . The colored dual immaculate functions are…