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A partial Steiner triple system of order n can be embedded in a Steiner triple system of order 6n + 3. (English) Zbl 0304.05005

MSC:
05B05 Combinatorial aspects of block designs
20N05 Loops, quasigroups
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References:
[1] Hall, Marshall, Combinatorial theory, (1967), Ginn-Blaisdell Waltham, Mass · Zbl 0196.02401
[2] Treash, C, The completion of finite incomplete Steiner triple systems with applications to loop theory, J. combinatorial theory, ser. A, 10, 259-265, (1971) · Zbl 0217.02001
[3] Cruse, Allan, On embedding incomplete symmetric Latin squares, J. combinatorial theory. ser. A, 16, 18-27, (1974) · Zbl 0274.05016
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