Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences

• Main Authors: Chee, Yeow Meng, Ling, San, Tan, Yin, Zhang, Xiande
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2012
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/93931; http://hdl.handle.net/10220/7630
• Institution: Nanyang Technological University

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 es-tablished for all orders. The application to the construction of short 2-radius...