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An affine α-resolvable PBD of index λ is a triple (V, B, R), where V is a set (of points), B is a collection of subsets of V (blocks), and R is a partition of B (resolution), satisfying the following conditions: (i) any two points occur together in λ blocks, (ii) any point occurs in α blocks of each resolution class, and (iii) |B| = |V| + |R| − 1. Those designs embeddable in symmetric designs are described and two infinite series of embeddable designs are constructed. The analog of the Bruck–Ryser–Chowla theorem for affine α-resolvable PBDs is obtained.
Original language | English |
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Pages (from-to) | 111-129 |
Number of pages | 19 |
Journal | Journal of Combinatorial Designs |
Volume | 6 |
Issue number | 2 |
DOIs | |
State | Published - 1 Jan 1998 |
ID: 37147576