On a generalization of the seating couples problem

Daniel Kohen; Iván Sadofschi Costa

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arXiv · 1603.06625

On a generalization of the seating couples problem

Daniel Kohen·Iván Sadofschi Costa

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Abstract

We prove a conjecture of Adamaszek generalizing the seating couples problem to the case of $2n$ seats. Concretely, we prove that given a positive integer $n$ and $d_1,\ldots,d_n\in(\mathbb{Z}/2n)^*$ we can partition $\mathbb{Z}/2n$ into $n$ pairs with differences $d_1,\ldots,d_n$.

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Daniel Kohen, Iván Sadofschi Costa. 2016-03-21. On a generalization of the seating couples problem. https://arxiv.org/abs/1603.06625

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