Universal Cycle Packings and Coverings for k-Subsets of an n-Set
Universal Cycle Packings and Coverings for k-Subsets of an n-Set
A cyclic sequence of elements of [n] is an (n, k)-Ucycle packing (respectively, (n, k)-Ucycle covering) if every k-subset of [n] appears in this sequence at most once (resp. at least once) as a subsequence of consecutive terms. Let $$p_{n,k}$$ be the length of a longest (n, k)-Ucycle packing and …