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.
@article{415, title = {Further biembeddings of twofold triple systems}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {11}, year = {2015}, doi = {10.26493/1855-3974.415.ecd}, language = {EN}, url = {http://dml.mathdoc.fr/item/415} }
Donovan, Diane M.; Griggs, Terry S.; Lefevre, James G.; McCourt, Thomas A. Further biembeddings of twofold triple systems. ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015) . doi : 10.26493/1855-3974.415.ecd. http://gdmltest.u-ga.fr/item/415/