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BIEMBEDDINGS OF STEINER TRIPLE SYSTEMS IN ORIENTABLE PSEUDOSURFACES WITH ONE PINCH POINT

  • A. D. FORBES (a1), T. S. GRIGGS (a1), C. PSOMAS (a1) and J. ŠIRÁŇ (a1)

Abstract

We prove that for all n ≡ 13 or 37 (mod 72), there exists a biembedding of a pair of Steiner triple systems of order n in an orientable pseudosurface having precisely one regular pinch point of multiplicity 2.

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References

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8.Youngs, J. W. T., The mystery of the Heawood conjecture, in Graph theory and its applications (Academic Press, New York, NY, 1970), 1750.

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