Emergent Mind
On the minimum order of a quadrangulation on a given closed 2-manifold
(1208.5207)
Published Aug 26, 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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