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EM
2010
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Self-Intersection Numbers of Curves on the Punctured Torus
On the punctured torus the number of essential self-intersections of a homotopy class of closed curves is bounded (sharply) by a quadratic function of its combinatorial length (th...
Moira Chas, Anthony Phillips
EM
2010
155views Management» more  EM 2010»
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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...
EM
2010
134views Management» more  EM 2010»
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High-Accuracy Semidefinite Programming Bounds for Kissing Numbers
Abstract. The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere. Bachoc and...
Hans D. Mittelmann, Frank Vallentin
EM
2010
136views Management» more  EM 2010»
14 years 15 days ago
Minimal Permutation Representations of Nilpotent Groups
Ben Elias, Lior Silberman, Ramin Takloo-Bighash