Biembeddings of 2-rotational Steiner triple systems

Abstract

It is shown that for $v\equiv 1$ or 3 (mod 6), every pair of Heffter difference sets modulo $v$ gives rise to a biembedding of two 2-rotational Steiner triple systems of order $2v+1$ in a nonorientable surface.

Publication
In Electronic Journal of Combinatorics
Justin Z. Schroeder
Justin Z. Schroeder
Mosaic Centre Radstock

Teacher, mathematician, and board game designer.