Title
On 2-designs
Abstract
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
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 Erdös1626190.85
Joel C Fowler23513.25
Vera T. Sós331862.21
Richard M. Wilson4697340.86