53 citations · 75 across the 21 of their papers we have counts for
26 papers
The Game of Cycles
Ryan Alvarado, Maia Averett, Benjamin Gaines +5
The Game of Cycles, introduced by Su (2020), is played on a simple connected planar graph together with its bounded cells, and players take turns marking edges with arrows accordin…
Multilabeled versions of Sperner's and Fan's lemmas and applications
Frédéric Meunier, Francis Edward Su
We propose a general technique related to the polytopal Sperner lemma for proving old and new multilabeled versions of Sperner's lemma. A notable application of this technique yiel…
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…
Piercing Numbers in Approval Voting
Francis Edward Su, Shira Zerbib
We survey a host of results from discrete geometry that have bearing on the analysis of geometric models of approval voting. Such models view the political spectrum as a geometric…
Proving Tucker's Lemma with a Volume Argument
Beauttie Kuture, Oscar Leong, Christopher Loa +2
Sperner's lemma is a statement about labeled triangulations of a simplex. McLennan and Tourky (2007) provided a novel proof of Sperner's Lemma by examining volumes of simplices in…
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…