On sparse countably infinite Steiner triple systems |
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Authors: | K M Chicot M J Grannell T S Griggs B S Webb |
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Institution: | Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, U.K. |
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Abstract: | We give a general construction for Steiner triple systems on a countably infinite point set and show that it yields 2 nonisomorphic systems all of which are uniform and r‐sparse for all finite r?4. © 2009 Wiley Periodicals, Inc. J Combin Designs 18: 115–122, 2010 |
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Keywords: | infinite Steiner triple system sparse uniform |
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