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The configuration polytope of ℓ-line configurations in Steiner triple systems

✍ Scribed by Charles J. Colbourn

Book ID
111493002
Publisher
SP Versita
Year
2009
Tongue
English
Weight
425 KB
Volume
59
Category
Article
ISSN
0139-9918

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📜 SIMILAR VOLUMES

Ubiquitous configurations in Steiner tri
Ubiquitous configurations in Steiner triple systems
✍ Eric Mendelsohn; Alexander Rosa 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 347 KB 👁 1 views

A Steiner triple system S is a C-ubiquitous (where C is a configuration) if every line of S is contained in a copy of C, and is n-ubiquitous if it is C-ubiquitous for every n-line configuration C. We determine the spectrum of 4-ubiquitous Steiner triple systems as well as the spectra of C-ubiquitous

A small basis for four-line configuratio
A small basis for four-line configurations in steiner triple systems. Dedicated to the memory of gemma holly griggs
✍ M. J. Grannell; T. S. Griggs; E. Mendelsohn 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 399 KB 👁 1 views

Formulae for the numbers of two, three, and four-line configurations in a Steiner triple system of order u, STS(u), are given. While the formulae for two and three-line configurations depend only on u , the same is true for only 5 of the 16 four-line configurations. For the other 11 and fixed u, the