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The spectrum of maximal partial steiner triple systems |
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| Authors: | Charles J. Colbourn Alexander Rosa Štefan Znám |
| Affiliation: | (1) Combinatorics and Optimization, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(2) Mathematics and Statistics, McMaster University, L8S 4K1 Hamilton, Ontario, Canada;(3) Katedra algebry a teórie !["ccaron"]("/content/m0430r7g2k310766/xlarge269.gif") ísel, Univerzita Komenského, 84215 Bratislava, Czechoslovakia |
| Abstract: | The determination of the possible numbers of triples in a maximal partial triple system of order  begun by Severn is completed. The result rests on the characterization of the maximum number of edges in a triangle-free, nonbipartite, antieulerian graph onn vertices. |
| Keywords: | partial triple system triangle-free graph packing by triples |
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