List of Figures

1.1 Steiner triple system

1.2 The complete graph K7

1.3 Equivalence between a Steiner triple system and a decomposition of Kn into triangles

1.4 The Bose Construction

1.5 The Skolem Construction

1.6 The 6n + 5 Construction

1.7 The Quasigroup with Holes Construction

2.1 2-fold triple system

2.2 The 3n Construction of2-fo1d triple systems

2.3 The 3n + 1 Construction of 2-fo1d triple systems

4.1 A maximum packing with leave being a 1‐factor

4.2 Leaves of maximum packings

4.3 A minimum covering with padding a tripole

4.4 Paddings of minimum coverings

4.5 Maximum packing of order 6n + (0 or 2) with leave a 1‐factor

4.6 Maximum packing on order 6n + 5 with leave a 4‐cycle

4.7 Maximum packing of order 6n + 4 with leave a tripole

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