12 citations · 98 across the 59 of their papers we have counts for
8 papers · 1 filter
Rowmotion Markov Chains
Colin Defant, Rupert Li, Evita Nestoridi
Rowmotion is a certain well-studied bijective operator on the distributive lattice of order ideals of a finite poset . We introduce the rowmotion Markov chain ${\bf M}_{J…
Foot-Sorting for Socks
Colin Defant, Noah Kravitz
If your socks come out of the laundry all mixed up, how should you sort them? We introduce and study a novel foot-sorting algorithm that uses feet to attempt to sort a sock orderin…
Tilings of Benzels via the Abacus Bijection
Colin Defant, Rupert Li, James Propp +1
Propp recently introduced regions in the hexagonal grid called benzels and stated several enumerative conjectures about the tilings of benzels using two types of prototiles called…
Connectedness and Cycle Spaces of Friends-and-Strangers Graphs
Colin Defant, David Dong, Alan Lee +1
If and are -vertex graphs, then their friends-and-strangers graph is the graph whose vertices are the bijections from t…
Extensions of Hitomezashi Patterns
Colin Defant, Noah Kravitz, Bridget Eileen Tenner
Hitomezashi, a form of traditional Japanese embroidery, gives rise to intricate arrangements of axis-parallel unit-length stitches in the plane. Pete studied these patterns in the…
Rowmotion on -Tamari and BiCambrian Lattices
Colin Defant, James Lin
Thomas and Williams conjectured that rowmotion acting on the rational -Tamari lattice has order . We construct an equivariant bijection that proves this conjecture wh…