Nakamoto, A.; Negami, S.; Ota, K. and Siran, J.
Planar triangulations which quadrangulate other surfaces.
European Journal of Combinatorics, 25(6) pp. 817–833.
We shall show that for any closed surface F2 except the sphere, there is a triangulation on the sphere which can be embedded on F2 as a quadrangulation, and characterize those 5-connected triangulations on the sphere that quadrangulate other closed surfaces, discussing double 4-cycle covers of triangulations.
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