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On sparse countably infinite Steiner triple systems
Authors:K M Chicot  M J Grannell  T S Griggs  B S Webb
Institution:Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, U.K.
Abstract:We give a general construction for Steiner triple systems on a countably infinite point set and show that it yields 2 ? 0 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
Keywords:infinite Steiner triple system  sparse  uniform
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