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math.CO2022
Lenart's bijection via bumpless pipe dreams
Adam Gregory, Zachary Hamaker
Pipe dreams and bumpless pipe dreams for vexillary permutations are each known to be in bijection with certain semistandard tableaux via maps due to Lenart and Weigandt, respective…
math.CO2022★ 2 cited
Characters of local and regular permutation statistics
Zachary Hamaker, Brendon Rhoades
The goal of this monograph is to study the indicator function for a set of permutations mapping one finite sequence of positive integers to another from a representation theoretic,…
math.CO2022
Three coloring via triangle counting
Zachary Hamaker, Vincent Vatter
In the first partial result toward Steinberg's now-disproved three coloring conjecture, Abbott and Zhou used a counting argument to show that every planar graph without cycles of l…