Spencer Daugherty

activity

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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4 papers · 1 filter

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…