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math.CO2023★ 1 cited
On harmonious coloring of hypergraphs
Sebastian Czerwiński
A harmonious coloring of a -uniform hypergraph is a vertex coloring such that no two vertices in the same edge have the same color, and each -element subset of colors app…
math.CO2008★ 1 cited
The Coin Exchange Problem and the Structure of Cube Tilings
Andrzej P. Kisielewicz, Krzysztof Przesławski
Let k_1,...,k_d be positive integers, and D be a subset of [k_1]x...x[k_d], whose complement can be decomposed into disjoint sets of the form {x_1}x...x{x_{s-1}}x[k_s]x{x_{s+1}}x..…
math.CO2006
Polyboxes, cube tilings and rigidity
Andrzej P. Kisielewicz, Krzysztof Przesławski
A non-empty subset A of X = X_1 x...x X_d is a (proper) box if A = A_1 x...x A_d and A_i is a (proper) subset of X_i for each i. Suppose that for each pair of boxes A, B and each i…