English

Binomial partial Steiner triple systems with complete graphs: structural problems

Combinatorics 2015-08-26 v1

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 (n2)\binom{n}{2} points and (n3)\binom{n}{3} lines, each line of the size 33. Consequently, a BSTS has n2n-2 lines through each of its points.

Keywords

Cite

@article{arxiv.1508.05974,
  title  = {Binomial partial Steiner triple systems with complete graphs: structural problems},
  author = {Krzysztof Petelczyc and Małgorzata Prażmowska and Krzysztof Prażmowski},
  journal= {arXiv preprint arXiv:1508.05974},
  year   = {2015}
}
R2 v1 2026-06-22T10:40:37.189Z