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math.CO2022★ 1 cited
Piecewise-linear promotion and RSK in rectangles and moon polyominoes
Joseph Johnson, Ricky Ini Liu
We study piecewise-linear and birational lifts of Schützenberger promotion, evacuation, and the RSK correspondence defined in terms of toggles. Using this perspective, we prove tha…
math.ST2022★ 1 cited
Toric Ideals of Characteristic Imsets via Quasi-Independence Gluing
Benjamin Hollering, Joseph Johnson, Irem Portakal +1
Characteristic imsets are 0-1 vectors which correspond to Markov equivalence classes of directed acyclic graphs. The study of their convex hull, named the characteristic imset poly…
math.CO2022★ 1 cited
Birational Rowmotion and the Octahedron Recurrence
Joseph Johnson, Ricky Ini Liu
We use the octahedron recurrence to give a simplified statement and proof of a formula for iterated birational rowmotion on a product of two chains, first described by Musiker and…