Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
Chee, Yeow Meng
Date of Issue2011
School of Physical and Mathematical Sciences
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 sequences is given, along with some new 2-radius sequences found through a computer search.
Mathematics of computation
© 2011 American Mathematical Society This paper was published in Mathematics of Computation and is made available as an electronic reprint (preprint) with permission of American Mathematical Society. The paper can be found at http://dx.doi.org/10.1090/S0025-5718-2011-02473-7. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.