Research output: Contribution to journal › Article › peer-review
Embeddability and construction of affine α-resolvable pairwise balanced designs. / Bekker, Boris; Ionin, Yury J.; Shrikhande, Mohan S.
In: Journal of Combinatorial Designs, Vol. 6, No. 2, 01.01.1998, p. 111-129.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Embeddability and construction of affine α-resolvable pairwise balanced designs
AU - Bekker, Boris
AU - Ionin, Yury J.
AU - Shrikhande, Mohan S.
PY - 1998/1/1
Y1 - 1998/1/1
N2 - 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.
AB - 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.
KW - Affine resolvable symmetric design
KW - Pairwise balanced design
KW - Resolvable
UR - http://www.scopus.com/inward/record.url?scp=84926189545&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1520-6610(1998)6:2<111::AID-JCD3>3.0.CO;2-I
DO - 10.1002/(SICI)1520-6610(1998)6:2<111::AID-JCD3>3.0.CO;2-I
M3 - Article
AN - SCOPUS:84926189545
VL - 6
SP - 111
EP - 129
JO - Journal of Combinatorial Designs
JF - Journal of Combinatorial Designs
SN - 1063-8539
IS - 2
ER -
ID: 37147576