Further biembeddings of twofold triple systems

Diane M. Donovan, Terry S. Griggs, James G. Lefevre, Thomas A. McCourt

Abstract


We construct face two-colourable triangulations of the graph 2Kn in an orientable surface; equivalently biembeddings of two twofold triple systems of order n, for all n ≡ 16 or 28 (mod 48). The biembeddings come from index 1 current graphs lifted under a group Zn / 4 × K4.

Keywords


Biembedding, orientable surface, twofold triple system

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DOI: https://doi.org/10.26493/1855-3974.415.ecd

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications