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math.CO2023
A new shift operator-based polynomial method in additive combinatorics
Sammy Luo
We introduce a new form of the polynomial method based on what we call "shift operators," which we use to give efficient and intuitive new proofs of results previously shown using…
math.CO2023
Large monochromatic components in colorings of complete hypergraphs
Lyuben Lichev, Sammy Luo
Gyárfás famously showed that in every -coloring of the edges of the complete graph , there is a monochromatic connected component with at least vertices. A…