Small filling sets of curves on a surface

We show that the asymptotic growth rate for the minimal cardinality of a set of simple closed curves on a closed surface of genus <em>g</em> which fill and pairwise intersect at most K≥1 times is 2√g / √K as <em>g</em>→ ∞. We then bound from below the cardinality of a filling...

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Bibliographic Details
Main Authors: Anderson, J, Parlier, H, Pettet, A
Format: Journal article
Language:English
Published: Elsevier 2011
Subjects: