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A new extremal property of Steiner triple-systems

✍ Scribed by P Frankl; Z Füredi

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
321 KB
Volume
48
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES

Some new perfect Steiner triple systems
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✍ M. J. Grannell; T. S. Griggs; J. P. Murphy 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB 👁 1 views

In a Steiner triple system STS(v) = (V, B), for each pair {a, b} ⊂ V, the cycle graph G a,b can be defined as follows. The vertices of G a,b are V \ {a, b, c} where {a, b, c} ∈ B. {x, y} is an edge if either {a, x, y} or {b, x, y} ∈ B. The Steiner triple system is said to be perfect if the cycle gra

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✍ Jean Doyen; Richard M. Wilson 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 867 KB

If X is a set whose elements are called points and A is a collectioxr of subsets of X (called lines) such that: (i) any two distinct points of X are contained in exactly one line, (ii) every line contains at least two points, we say that the pair (X, A) is a linear space. A Steiner triple system i

Surface embeddings of Steiner triple sys
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✍ M. J. Grannell; T. S. Griggs; Jozef S˘irán˘ 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 421 KB 👁 1 views

A Steiner triple system of order n (STS(n)) is said to be embeddable in an orientable surface if there is an orientable embedding of the complete graph Kn whose faces can be properly 2-colored (say, black and white) in such a way that all black faces are triangles and these are precisely the blocks

Ternary codes of steiner triple systems
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✍ J. D. Key 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 339 KB

The code over a finite field F, of a design D is the space spanned by the incidence vectors of the blocks. It is shown here that if D is a Steiner triple system on v points, and if the integer then the ternary code C of contains a subcode that can be shortened to the ternary generalized Reed-Muller