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math.CO2016★ 1 cited
A business dinner problem
Alejandra Estanislao, Frédéric Meunier
We are given suppliers and customers, and a set of tables. Every evening of the forthcoming days, there will be a dinner. Each customer must eat with each supplier exactly once, bu…
math.CO2013★ 17 cited
Some new orders of Hadamard and skew-Hadamard matrices
Dragomir Z. Djokovic, Oleg Golubitsky, Ilias S. Kotsireas
We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we know, such matrices have not…
math.CO2011
Lines in hypergraphs
Laurent Beaudou, Adrian Bondy, Xiaomin Chen +5
One of the De Bruijn - Erdos theorems deals with finite hypergraphs where every two vertices belong to precisely one hyperedge. It asserts that, except in the perverse case where a…