16 citations · 62 across the 23 of their papers we have counts for
29 papers
Quantized rational chip-firing
Spencer Backman, Nicholas A. Loehr, Gregory S. Warrington
This article introduces a quantized chip-firing model with close connections to the theory of rational lattice paths and rational parking functions. Given a graph with a sink and p…
Skeletal generalizations of Dyck paths, parking functions, and chip-firing games
Spencer Backman, Cole Charbonneau, Nicholas A. Loehr +3
For , we introduce a family of -skeletal paths which are counted by the -th Catalan number for each , and specialize to Dyck paths when . We simila…
A rooted variant of Stanley's chromatic symmetric function
Nicholas A. Loehr, Gregory S. Warrington
Richard Stanley defined the chromatic symmetric function of a graph and asked whether there are non-isomorphic trees and with . We study variants of the…
Abacus-histories and the combinatorics of creation operators
Nicholas A. Loehr, Gregory S. Warrington
Creation operators act on symmetric functions to build Schur functions, Hall--Littlewood polynomials, and related symmetric functions one row at a time. Haglund, Morse, Zabrocki, a…
Simulated packing and cracking
Jeffrey S. Buzas, Gregory S. Warrington
We introduce simulated packing and cracking as a technique for evaluating partisan-gerrymandering measures. We apply it to historical congressional and legislative elections to eva…
Accumulation charts for instant-runoff elections
Bridget Eileen Tenner, Gregory S. Warrington
We propose a new graphical format for instant-runoff voting election results. We call this proposal an "accumulation chart." This model, a modification of standard bar charts, is e…