29 citations · 154 across the 72 of their papers we have counts for
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math.CO2002★ 2 cited
The Ehrhart polynomial of the Birkhoff polytope
Matthias Beck, Dennis Pixton
The n'th Birkhoff polytope is the set of all doubly stochastic n-by-n matrices, that is, those matrices with nonnegative real coefficients in which every row and column sums to one…
math.CO2002★ 7 cited
The number of "magic" squares and hypercubes
Matthias Beck, Moshe Cohen, Jessica Cuomo +1
We define a magic square to be a square matrix whose entries are nonnegative integers and whose rows, columns, and main diagonals sum up to the same number. We prove structural res…