56 citations · 75 across the 12 of their papers we have counts for
13 papers
Algebraic Voting Theory & Representations of
Hélène Barcelo, Megan Bernstein, Sarah Bockting-Conrad +3
We consider the problem of selecting an -member committee made up of one of candidates from each of distinct departments. Using an algebraic approach, we analyze positio…
Fair division with multiple pieces
Kathryn Nyman, Francis Edward Su, Shira Zerbib
Given a set of players we consider problems concerning envy-free allocation of collections of pieces from a given set of goods or chores. We show that if and each…
Discrete Envy-free Division of Necklaces and Maps
Roberto Barrera, Kathryn Nyman, Amanda Ruiz +2
We study the discrete variation of the classical cake-cutting problem where n players divide a 1-dimensional cake with exactly (n-1) cuts, replacing the continuous, infinitely divi…
Double-interval societies
Maria Klawe, Kathryn L. Nyman, Jacob N. Scott +1
Consider a society of voters, each of whom specify an approval set over a linear political spectrum. We examine double-interval societies, in which each person's approval set is re…
Properties of Generalized Derangement Graphs
Hannah Jackson, Kathryn Nyman, Les Reid
A permutation sigma in Sn is a k-derangement if for any subset X = {a1, . . ., ak} \subseteq [n], {sigma(a1), . . ., sigma(ak)} is not equal to X. One can form the k-derangement gr…
Weighted pebbling numbers on graphs
Stephanie Jones, Joshua D. Laison, Cameron McLeman +1
We expand the theory of pebbling to graphs with weighted edges. In a weighted pebbling game, one player distributes a set amount of weight on the edges of a graph and his opponent…