Biembeddings of 2-Rotational Steiner Triple Systems

M. J. Grannell, J. Z. Schroeder

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.

 


Keywords


Topological embedding; Steiner triple system; Heffter difference set

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