Xi Sisi Shen

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We give the n! permutations of [n] = {1, 2,. .. , n} a cyclic order inspired by the chil-dren's game of Hot Potato. Our order is a transposition Gray code, meaning that consecutive permutations differ by a single transposition. Furthermore, each transposition is restricted in two ways: (1) It must transpose value n (the " hot potato "); (2) It must(More)
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