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COMPGEOM
2010
ACM
13 years 10 months ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard
CORR
2011
Springer
197views Education» more  CORR 2011»
12 years 12 months ago
Arrangements of double pseudolines
We define a double pseudoline as a simple closed curve in the open M¨obius band homotopic to the double of its core circle, and we define an arrangement of double pseudolines a...
Luc Habert, Michel Pocchiola
EM
2010
155views Management» more  EM 2010»
13 years 5 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...