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Jul 15, 2013 at 19:41 history edited Tarik Aougab CC BY-SA 3.0
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Jul 15, 2013 at 15:05 comment added Tarik Aougab @Misha: I've come across a bit of the literature on carrier graphs, but not in this context. The particular graphs I'm looking at are a union of two simple closed curves. There exists some nice upper bounds on the length of each edge of a minimal carrier graph on a hyperbolic surface (to my knowledge, due to J. Barnard in this paper), but if anything I'd be looking for lower bounds to rule out the possibility that complementary regions can be very small hyperbolic polygons.
Jul 15, 2013 at 3:53 comment added Misha Did you check literature on minimal carrier graphs on hyperbolic surfaces?
Jul 15, 2013 at 2:57 history edited Ricardo Andrade
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Jul 15, 2013 at 2:40 review First posts
Jul 15, 2013 at 2:57
Jul 15, 2013 at 2:29 history edited Tarik Aougab CC BY-SA 3.0
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Jul 15, 2013 at 2:20 history asked Tarik Aougab CC BY-SA 3.0