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arXiv · 1508.05974

Binomial partial Steiner triple systems with complete graphs: structural problems

Krzysztof Petelczyc·Małgorzata Prażmowska·Krzysztof Prażmowski
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Abstract

In the paper we study the structure of hyperplanes of so called binomial partial Steiner triple systems (BSTS's, in short) i.e. of configurations with $\binom{n}{2}$ points and $\binom{n}{3}$ lines, each line of the size $3$. Consequently, a BSTS has $n-2$ lines through each of its points.

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Krzysztof Petelczyc, Małgorzata Prażmowska, Krzysztof Prażmowski. 2015-08-24. Binomial partial Steiner triple systems with complete graphs: structural problems. https://arxiv.org/abs/1508.05974

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