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103
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DCG
2007
77views more  DCG 2007»
14 years 9 months ago
Stability of Critical Points with Interval Persistence
Scalar functions defined on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...
Tamal K. Dey, Rephael Wenger
73
Voted
DCG
2007
79views more  DCG 2007»
14 years 9 months ago
Distance Measures for Well-Distributed Sets
In this paper we investigate the Erd¨os/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We pr...
Alex Iosevich, Michael Rudnev
75
Voted
DCG
2007
94views more  DCG 2007»
14 years 9 months ago
Banach-Mazur Distances and Projections on Random Subgaussian Polytopes
We consider polytopes in Rn that are generated by N vectors in Rn whose coordinates are independent subgaussian random variables. (A particular case of such polytopes are symmetri...
Rafal Latala, Piotr Mankiewicz, Krzysztof Oleszkie...
DCG
2007
67views more  DCG 2007»
14 years 9 months ago
Note on an Inequality of Wegner
G. Wegner [12] gave a geometric characterization of all so–called Groemer packing of n ≥ 2 unit discs in E2 that are densest packings of n unit discs with respect to the conve...
Károly J. Böröczky, Imre Z. Ruzsa
91
Voted
DCG
2007
91views more  DCG 2007»
14 years 9 months ago
Which n-Venn Diagrams Can Be Drawn with Convex k-Gons?
We establish a new lower bound for the number of sides required for the component curves of simple Venn diagrams made from polygons. Specifically, for any n-Venn diagram of conve...
Jeremy Carroll, Frank Ruskey, Mark Weston