Abstract
We describe a class of Skolem sequences of order n such that for the cyclic Steiner triple system of order 6n+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 K6n+1 such that the triangular faces of one of the two color classes form the blocks of the cyclic Steiner triple system.
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