An inductive approach to constructing universal cycles on the k-subsets of [n]

作者：Rudoy Yevgeniy^*

来源：Electronic Journal of Combinatorics, 2013, 20(2): P18.

In this paper, we introduce a method of constructing universal cycles on sets by taking "sums" and "products" of smaller cycles. We demonstrate this new approach by proving that if there exist universal cycles on the 4-subsets of [18] and the 4-subsets of [26], then for any integer n >= 18 equivalent to 2 (mod 8), there exists a universal cycle on the 4-subsets of [n].

• 出版日期2013-4-24