Self-embeddings of doubled affine Steiner triple systems

Abstract

Given a properly face two-coloured triangulation of the graph Kn in a surface, a Steiner triple system can be constructed from each of the colour classes. The two Steiner triple systems obtained in this manner are said to form a biembedding. If the systems are isomorphic to each other it is a self-embedding. In the following, for each k ≥ 2, we construct a… (More)

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Cite this paper

@article{McCourt2016SelfembeddingsOD, title={Self-embeddings of doubled affine Steiner triple systems}, author={Thomas A. McCourt and Justin Z. Schroeder}, journal={Australasian J. Combinatorics}, year={2016}, volume={66}, pages={23-43} }