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arxiv: 1504.02937 · v1 · pith:WB7OR4BLnew · submitted 2015-04-12 · 🧮 math.GT

Uniform hyperbolicity for curve graphs of non-orientable surfaces

classification 🧮 math.GT
keywords graphssurfaceshyperboliccurvenon-orientablehensel-przytycki-webborientableapplying
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Hensel-Przytycki-Webb proved that all curve graphs of orientable surfaces are 17-hyperbolic. In this paper, we show that curve graphs of non-orientable surfaces are 17-hyperbolic by applying Hensel-Przytycki-Webb's argument. We also show that arc graphs of non-orientable surfaces are 7-hyperbolic, and arc-curve graphs of (non-)orientable surfaces are 9-hyperbolic.

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