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Resolvable (r, λ)-designs and the Fisher inequality
| Content Provider | Scilit |
|---|---|
| Author | Vanstone, S. A. |
| Copyright Year | 1979 |
| Description | It 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. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C7F948306BE6184C51D07E117AF7645F/S1446788700012611a.pdf/div-class-title-resolvable-span-class-italic-r-span-designs-and-the-fisher-inequality-div.pdf |
| Ending Page | 478 |
| Page Count | 8 |
| Starting Page | 471 |
| ISSN | 14467887 |
| e-ISSN | 14468107 |
| DOI | 10.1017/s1446788700012611 |
| Journal | Journal of the Australian Mathematical Society |
| Issue Number | 4 |
| Volume Number | 28 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1979-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society Applied Mathematics Block Intersections Similar Inequality Resolvable Regular Resolvable Balanced Affine Resolvable Block Design Balanced Incomplete Regular Pairwise |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
