2 papers
math.CO2026
New Upper bounds on the Mondrian Art Problem
Thomas Garrison, Chris Seiler, Aliaksei Semchankau
We present a new upper bound on the defect of the Mondrian Art Problem. The Mondrian Art Problem asks for a partition of an square with rectangles of distinct dimensio…
math.CO2026
Structure theory of set addition with two operations
Aliaksei Semchankau, Ilya Shkredov
We take the first step toward a structure theory that includes both operations of a ring . More precisely, we prove a series of inverse results for the structure of se…