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...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2012
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| Online Access: | https://hdl.handle.net/10356/93931 http://hdl.handle.net/10220/7630 |
| _version_ | 1811681614374109184 |
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| author | Chee, Yeow Meng Ling, San Tan, Yin Zhang, Xiande |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Chee, Yeow Meng Ling, San Tan, Yin Zhang, Xiande |
| author_sort | Chee, Yeow Meng |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T03:43:45Z |
| format | Journal Article |
| id | ntu-10356/93931 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:43:45Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | 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 |
| topic | DRNTU::Science::Mathematics |
| url | https://hdl.handle.net/10356/93931 http://hdl.handle.net/10220/7630 |
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