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The Uniqueness of Odd Pair Designs

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A pair design is an ordering of all pairs in {1, 2,…, n} such that pairs that share an element have at least [(n − 3)/2] pairs separating them. Such designs can be constructed for all n. We present a shorter proof of a result of Simmons and Davis, that pair designs for odd n are unique up to permuting the numbers or reversing the order of the pairs.
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Document Type: Research Article

Affiliations: Massachusetts Institute of Technology

Publication date: January 1, 1978

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