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Transverse quadruple systems with five holes

✍ Scribed by M. S. Keranen; D. L. Kreher

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
231 KB
Volume
15
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

Transverse Steiner quadruple systems with five holes are either of type g^5^ or g^4^u^1^. We concentrate on the systems of type g^4^u^1^ and settle existence except when g ≑ u ≑ 2 (mod 4) and all except 40 parameter situations when g ≑ u + 2 ≑ 0 (mod 4). The question of existence for transverse quadruple systems of type g^4^u^1^ with index Ξ» > 1 is completely solved for all Ξ» β‰₯ 13 and Ξ» ∈ {4, 6, 8, 9, 10, 12}. Β© 2006 Wiley Periodicals, Inc. J Combin Designs 15: 315–340, 2007

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