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On the minimum order of a quadrangulation on a given closed 2-manifold (1208.5207v1)
Published 26 Aug 2012 in math.CO, cs.DM, math.AT, and math.GT
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].
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