Nonorientable biembeddings of cyclic Steiner triple systems generated by Skolem sequences.

We describe a class of Skolem sequences of order n such that for the cyclic Steiner triple system of order 6 n + 1 generated by any Skolem sequence from the class we can construct a bipartite index one current graph generating a nonorientable face 2-colorable triangular embedding of the complete graph K 6 n + 1 such that the triangular faces of one of the two color classes form the blocks of the cyclic Steiner triple system. [ABSTRACT FROM AUTHOR]