Planar triangulations which quadrangulate other surfaces

Nakamoto, A.; Negami, S.; Ota, K. and Siran, J. (2004). 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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