Operation of weaving partial Steiner triple systems
Combinatorics
2014-03-20 v1
Abstract
We introduce an operation of a kind of product which associates with a partial Steiner triple system another partial Steiner triple system, the starting one being a quotient of the result. We discuss relations of our product to some other product-like constructions and prove some preservation/non-preservation theorems. In particular, we show series of anti-Pasch Steiner triple systems which are obtained that way.
Keywords
Cite
@article{arxiv.1403.4916,
title = {Operation of weaving partial Steiner triple systems},
author = {Małgorzata Prażmowska and Krzysztof Prażmowski},
journal= {arXiv preprint arXiv:1403.4916},
year = {2014}
}