Resolvable (r, λ)-designs and the Fisher inequality
1979 ◽
Vol 28
(4)
◽
pp. 471-478
◽
Keyword(s):
AbstractIt is well known that in any (v, b, r, k, λ) resolvable balanced incomplete block design that b≧ ν + r − l with equality if and only if the design is affine resolvable. In this paper, we show that a similar inequality holds for resolvable regular pairwise balanced designs ((ρ, λ)-designs) and we characterize those designs for which equality holds. From this characterization, we deduce certain results about block intersections in (ρ, λ)-designs.
2019 ◽
Vol 29
(11)
◽
1973 ◽
Vol 3
(1)
◽
pp. 153-226
◽
2004 ◽
Vol 151
(6)
◽
pp. 535
◽
2005 ◽
Vol 13
(5)
◽
pp. 363-376
◽
2019 ◽
Vol 15
(1)
◽
pp. 155014771982624
◽
1964 ◽
Vol 16
◽
pp. 736-740
◽
1995 ◽
Vol 22
(2)
◽
pp. 201-210
◽