Combinatorial coverings from geometries over principal ideal rings
A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) cover...
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sg-ntu-dr.10356-957802023-02-28T19:24:40Z Combinatorial coverings from geometries over principal ideal rings Chee, Yeow Meng Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Geometry A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) coverings having many interesting combinatorial properties. Accepted version 2013-04-18T06:19:49Z 2019-12-06T19:21:24Z 2013-04-18T06:19:49Z 2019-12-06T19:21:24Z 1999 1999 Journal Article Chee, Y. M., & Ling, S. (1999). Combinatorial coverings from geometries over principal ideal rings. Journal of Combinatorial Designs, 7(4), 247-268. 1520-6610 https://hdl.handle.net/10356/95780 http://hdl.handle.net/10220/9830 10.1002/(SICI)1520-6610(1999)7:4<247 en Journal of combinatorial designs © 1999 John Wiley & Sons, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Combinatorial Designs, John Wiley & Sons, Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1002/(SICI)1520-6610(1999)7:4<247::AID-JCD3>3.0.CO;2-W]. application/pdf |
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DRNTU::Science::Mathematics::Geometry Chee, Yeow Meng Ling, San Combinatorial coverings from geometries over principal ideal rings |
| description |
A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) coverings having many interesting combinatorial properties. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Chee, Yeow Meng Ling, San |
| format |
Article |
| author |
Chee, Yeow Meng Ling, San |
| author_sort |
Chee, Yeow Meng |
| title |
Combinatorial coverings from geometries over principal ideal rings |
| title_short |
Combinatorial coverings from geometries over principal ideal rings |
| title_full |
Combinatorial coverings from geometries over principal ideal rings |
| title_fullStr |
Combinatorial coverings from geometries over principal ideal rings |
| title_full_unstemmed |
Combinatorial coverings from geometries over principal ideal rings |
| title_sort |
combinatorial coverings from geometries over principal ideal rings |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/95780 http://hdl.handle.net/10220/9830 |
| _version_ |
1759856380556083200 |