Biembeddings of 2-Rotational Steiner Triple Systems

[摘要] 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.

[学科分类] 离散数学和组合数学

[关键词] Topological embedding;Steiner triple system;Heffter difference set