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

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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
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-939312023-02-28T19:37:00Z Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences Chee, Yeow Meng Ling, San Tan, Yin Zhang, Xiande School of Physical and Mathematical Sciences DRNTU::Science::Mathematics 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. Published version 2012-03-09T04:05:26Z 2019-12-06T18:47:59Z 2012-03-09T04:05:26Z 2019-12-06T18:47:59Z 2011 2011 Journal Article Chee, Y. M., Ling, S., Tan, Y., & Zhang, X. (2011). Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences. Mathematics of Computation, 81, 585–603. https://hdl.handle.net/10356/93931 http://hdl.handle.net/10220/7630 10.1090/S0025-5718-2011-02473-7 en 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. 19 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Chee, Yeow Meng
Ling, San
Tan, Yin
Zhang, Xiande
Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Chee, Yeow Meng
Ling, San
Tan, Yin
Zhang, Xiande
format Article
author Chee, Yeow Meng
Ling, San
Tan, Yin
Zhang, Xiande
author_sort Chee, Yeow Meng
title Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
title_short Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
title_full Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
title_fullStr Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
title_full_unstemmed Universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
title_sort universal cycles for minimum coverings of pairs by triples, with application to 2-radius sequences
publishDate 2012
url https://hdl.handle.net/10356/93931
http://hdl.handle.net/10220/7630
_version_ 1759854181880954880

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