9 citations · 16 across the 9 of their papers we have counts for
4 papers · 1 filter
A cubical antipodal theorem
Kyle E. Kinneberg, Aaron Mazel-Gee, Tia Sondjaja +1
The classical Lusternik-Schnirelman-Borsuk theorem states that if a d-sphere is covered by d+1 closed sets, then at least one of the sets must contain a pair of antipodal points. I…
Splitting fields and periods of Fibonacci sequences modulo primes
Sanjai Gupta, Parousia Rockstroh, Francis Edward Su
What is the period of the Fibonacci sequence modulo a prime? The purpose of our brief expository paper is to illustrate an accessible, motivated treatment of this classical topic u…
N-person envy-free chore division
Elisha Peterson, Francis Edward Su
In contrast to the classical cake-cutting problem (how to fairly divide a desirable object), "chore division" is the problem of how to divide an undesirable object. We develop the…
Two-player envy-free multi-cake division
John Cloutier, Kathryn L. Nyman, Francis Edward Su
We introduce a generalized cake-cutting problem in which we seek to divide multiple cakes so that two players may get their most-preferred piece selections: a choice of one piece f…