On the minimum order of a quadrangulation on a given closed 2-manifold
arXiv:1208.5207
Abstract
A partial formula is provided to calculate the smallest number of vertices possible in a quadrangulation on the closed orientable 2-manifold of given genus. This extends the previously known partial formula due to N. Hartsfield and G. Ringel [J. Comb. Theory, Ser. B, 1989, 46, 84-95].
5 pages. arXiv admin note: text overlap with arXiv:1207.1882