21 citations · 34 across the 10 of their papers we have counts for
10 papers
Mathematically Quantifying Non-responsiveness of the 2021 Georgia Congressional Districting Plan
Zhanzhan Zhao, Cyrus Hettle, Swati Gupta +3
To audit political district maps for partisan gerrymandering, one may determine a baseline for the expected distribution of partisan outcomes by sampling an ensemble of maps. One a…
Fair and Reliable Reconnections for Temporary Disruptions in Electric Distribution Networks using Submodularity
Cyrus Hettle, Swati Gupta, Daniel Molzahn
Increasing reliability and reducing disruptions in supply networks are of increasing importance; for example, power outages in electricity distribution networks cost $35-50 billio…
Balanced Districting on Grid Graphs with Provable Compactness and Contiguity
Cyrus Hettle, Shixiang Zhu, Swati Gupta +1
Given a graph with vertex weights and a desired number of parts , the goal in graph partitioning problems is to partition the vertex set V into parts $V_1,\ld…
Enumerating Parking Completions Using Join and Split
Ayomikun Adeniran, Steve Butler, Galen Dorpalen-Barry +5
Given a strictly increasing sequence with entries from , a parking completion is a sequence with and $|…
A positivity phenomenon in Elser's Gaussian-cluster percolation model
Galen Dorpalen-Barry, Cyrus Hettle, David C. Livingston +4
Veit Elser proposed a random graph model for percolation in which physical dimension appears as a parameter. Studying this model combinatorially leads naturally to the consideratio…
On the genus of a quotient of a numerical semigroup
Ayomikun Adeniran, Steve Butler, Colin Defant +6
We find a relation between the genus of a quotient of a numerical semigroup and the genus of itself. We use this identity to compute the genus of a quotient of when …
Box polynomials and the excedance matrix
Richard Ehrenborg, Alex Happ, Dustin Hedmark +1
We consider properties of the box polynomials, a one variable polynomial defined over all integer partitions whose Young diagrams fit in an by box. We show that these p…
Flag Descents and Eulerian Polynomials for Wreath Product Quotients
Dustin Hedmark, Cyrus Hettle, McCabe Olsen
We investigate the -colored Eulerian polynomials and a notion of descents introduced in a recent paper of Hedmark and show that such polynomials can be computed as a polynomial…
Universal Partial Words over Non-Binary Alphabets
Bennet Goeckner, Corbin Groothuis, Cyrus Hettle +4
Chen, Kitaev, Mütze, and Sun recently introduced the notion of universal partial words, a generalization of universal words and de Bruijn sequences. Universal partial words allow f…
Al-Jabar: A Mathematical Game of Strategy
Cyrus Hettle, Robert P. Schneider
We detail the rules and mathematical structure of Al-Jabar, a game invented by the authors based on intuitive concepts of color-mixing and ideas from abstract algebra. Game-play co…