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On parallelism in Steiner systems

✍ Scribed by Maria Corinna Marino; Rolf Stephen Rees

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 332 KB
Volume: 97
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90445-8

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📜 SIMILAR VOLUMES

A Note on Partial Parallel Classes in St

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✍ C.C. Lindner; K.T. Phelps 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 293 KB

A partial parallel class of blocks of a Steiner system Sir. k. VI i\ a collection of pairs iw disjoint blocks. The purpose of thk note is to show that any S(k. k + 1. 17 I Steiner c.\\rem. LVI~~J ua k"+3k3+ k2+ 1, h as a partial parallel class containing at least i L' -k + I r/(k -+ 21 bicd~. ## 1.

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Lower bounds for maximal partial paralle

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Historical notes on steiner systems

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On the original Steiner Systems

✍ Haim Hanani 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 251 KB

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✍ Immo Diener 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 988 KB

In this paper we investigate the structlrlre of S-cyclic Steiner quadruple systems and derive a necessary condition on their existence which might turn out to be sufficient. In the third chapter we prove a necessary condition on the existence of general S-cyclic Steiner systems. It turns out that S-