2 papers
math.CO2025
The Existence and Structure of Universal Partial Cycles
Dylan Fillmore, Bennet Goeckner, Rachel Kirsch +2
A universal partial cycle (or upcycle) for is a cyclic sequence that covers each word of length over the alphabet exactly once -- like a De Bruijn…
math.CO2025
Universal partial tori
William D. Carey, Matthew David Kearney, Rachel Kirsch +1
A De Bruijn cycle is a cyclic sequence in which every word of length over an alphabet appears exactly once. De Bruijn tori are a two-dimensional analogue. Motivat…