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math.CO2024★ 1 cited
Partitioning the hypercube into smaller hypercubes
Noga Alon, Jozsef Balogh, Vladimir N. Potapov
Denote by Q_d the d-dimensional hypercube. Addressing a recent question we estimate the number of ways the vertex set of Q_d can be partitioned into vertex disjoint smaller cubes.…
math.CO2023
Diagonalization Games
Noga Alon, Olivier Bousquet, Kasper Green Larsen +2
We study several variants of a combinatorial game which is based on Cantor's diagonal argument. The game is between two players called Kronecker and Cantor. The names of the player…