Abstract | ||
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Denote by M v the set of integers b for which there exists a 2-design (linear space) with v points and b lines. M v is determined as accurately as possible. On one hand, it is shown for v > v 0 that M v contains the interval [ v + p + 1, v + p + q − 1]. On the other hand for v of the form p 2 + p + 1 it is shown that the interval [ v + 1, v + p − 1] is disjoint from M v ; and if v > v 0 and p is of the form q 2 + q , then an additional interval [ v + p + 1, v + p + q − 1] is disjoint from M v . |
Year | DOI | Venue |
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1985 | 10.1016/0097-3165(85)90064-0 | J. Comb. Theory, Ser. A |
Field | DocType | Volume |
Integer,Discrete mathematics,Combinatorics,Disjoint sets,Linear space,Mathematics | Journal | 38 |
Issue | ISSN | Citations |
2 | Journal of Combinatorial Theory, Series A | 35 |
PageRank | References | Authors |
13.25 | 2 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
P Erdös | 1 | 626 | 190.85 |
Joel C Fowler | 2 | 35 | 13.25 |
Vera T. Sós | 3 | 318 | 62.21 |
Richard M. Wilson | 4 | 697 | 340.86 |