Under the assumption that the incidence matrix of a 2-(45, 12, 3) design has a certain block structure, we determine completely the number of nonisomorphic designs involved. We discover 1136 such designs with trzvial automorphism group. In addition we analyze all 2-(45, 12, 3) designs having an auto
On 2-designs
✍ Scribed by P Erdös; Joel C Fowler; Vera T Sós; Richard M Wilson
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 590 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this article, we present a direct construction for cyclically resolvable cyclic Steiner 2-designs which is applicable irrespective of the parity of the block size. As an example, by using Weil's theorem on character sums, this construction gives an infinite series of cyclically resolvable cyclic
A Steiner 2-design is 1-rotational over a group G if it admits G as an automorphism group fixing one point and acting regularly on the remainder. 1-rotational Steiner 2-designs have come into fashion since 1981, when Phelps and Rosa (Discrete Math. 33 (1981), 57 66) studied Steiner triple systems th
The spectrum problem for the decomposition of Kn into copies of the graph K m+ 2 \ Km is solved for n ≡ 0 or 1 (mod 2m + 1).