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 ≡ 4 (mod 12). The biembeddings have a cyclic automorphism and the construction employs index 1 current graphs.
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Univ Rouen, CORIA UMR 6614, Pl Emile Blondel, F-76821 Mont St Aignan, FranceUniv Rouen, CORIA UMR 6614, Pl Emile Blondel, F-76821 Mont St Aignan, France
Letellier, C
Gilmore, R
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机构:Univ Rouen, CORIA UMR 6614, Pl Emile Blondel, F-76821 Mont St Aignan, France