Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
A new ordering, extending the notion of universal cycles of Chung et al. (1992), is proposed for the blocks of $k$-uniform set systems. Existence of minimum coverings of pairs by triples that possess such an ordering is established for all orders. The application to the construction of short 2-radius sequences …