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Binomial partial Steiner triple systems with complete graphs: structural problems

2015/08/24 by Krzysztof Petelczyc, Petelczyc, Krzysztof, Małgorzata Prażmowska +3
Engineering · Mathematics · #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1508.05974

openalex publication_date 2015/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \binomn2 points and \binomn3 lines, each line of the size 3. Consequently, a BSTS has n-2 lines through each of its points.

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