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Piotrowski's infinite series of Steiner Quadruple Systems revisited

✍ Scribed by Helmut Siemon


Book ID
118771463
Publisher
Springer
Year
1996
Tongue
English
Weight
565 KB
Volume
8
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES


Infinite families of strictly cyclic Ste
✍ Helmut Siemon πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 557 KB

For definitions and preliminary results see also Section 2. ' See Section 3.1. ' For the convenience of the reader we repeat here the argument of the proof of Theorem 1 in with 2p a instead of 2 5".

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Overlarge sets of disjoint Steiner quadr
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In this article, we construct overlarge sets of disjoint S(3, 4, 3 n -1) and overlarge sets of disjoint S(3, 4, 3 n + 1) for all n β‰₯ 2. Up to now, the only known infinite sequence of overlarge sets of disjoint S(3, 4, v) were the overlarge sets of disjoint S(3, 4, 2 n ) obtained from the oval conics

Existence of 3-chromatic Steiner quadrup
✍ L. Ji πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 139 KB

## Abstract A __Steiner quadruple system__ of order __v__ (briefly SQS (__v__)) is a pair (__X__, $\cal B$), where __X__ is a __v__‐element set and $\cal B$ is a set of 4‐element subsets of __X__ (called __blocks__ or __quadruples__), such that each 3‐element subset of __X__ is contained in a uniqu