Eliot Hodges

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20222026

most citedBender--Knuth Billiards in Coxeter Groups

1 citations · 1 across the 5 of their papers we have counts for

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math.CO2024★ 1 cited

Bender--Knuth Billiards in Coxeter Groups

Grant Barkley, Colin Defant, Eliot Hodges +2

Let $(W, S)$ be a Coxeter system, and write $S = {s_{i} : i \in I}$ , where $I$ is a finite index set. Fix a nonempty convex subset $L$ of $W$ . If $W$ is of type $A$ , then $\mat…

math.CO2023

The Distribution of Sandpile Groups of Random Graphs with their Pairings

Eliot Hodges

We determine the distribution of the sandpile group (also known as the Jacobian) of the Erdős-Rényi random graph $G (n, q)$ along with its canonical duality pairing as $n$ tends to i…

math.CO2022

On Promotion and Quasi-tangled Labelings of Posets

Eliot Hodges

In 2022, Defant and Kravitz introduced extended promotion (denoted $\partial$ ), a map that acts on the set of labelings of a poset. Extended promotion is a generalization of Schütz…