Universal cycles for permutations
نویسنده
چکیده
A universal cycle for permutations is a word of length n! such that each of the n! possible relative orders of n distinct integers occurs as a cyclic interval of the word. We show how to construct such a universal cycle in which only n + 1 distinct integers are used. This is best possible and proves a conjecture of Chung, Diaconis and Graham.
منابع مشابه
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 309 شماره
صفحات -
تاریخ انتشار 2009