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» A linearization of the Lambda-calculus and consequences
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SODA
2010
ACM
143views Algorithms» more  SODA 2010»
14 years 11 months ago
Thin Partitions: Isoperimetric Inequalities and a Sampling Algorithm for Star Shaped Bodies
Star-shaped bodies are an important nonconvex generalization of convex bodies (e.g., linear programming with violations). Here we present an efficient algorithm for sampling a giv...
Karthekeyan Chandrasekaran, Daniel Dadush, Santosh...
124
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COMGEO
2011
ACM
14 years 8 months ago
A note on the perimeter of fat objects
In this note, we show that the size of the perimeter of (α, β)-covered objects is a linear function of the diameter. Specifically, for an (α, β)-covered object O, per(O) ≤ c...
Prosenjit Bose, Otfried Cheong, Vida Dujmovic
101
Voted
CCCG
2010
15 years 2 months ago
On the perimeter of fat objects
We show that the size of the perimeter of (, )-covered objects is a linear function of the diameter. Specifically, for an (, )-covered object O, per(O) c diam(O) sin2 , for a pos...
Prosenjit Bose, Otfried Cheong, Vida Dujmovic
CCCG
2009
15 years 2 months ago
Relaxed Gabriel Graphs
We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1]...
Prosenjit Bose, Jean Cardinal, Sébastien Co...
CORR
2008
Springer
56views Education» more  CORR 2008»
15 years 1 months ago
Understanding maximal repetitions in strings
The cornerstone of any algorithm computing all repetitions in a string of length n in O(n) time is the fact that the number of runs (or maximal repetitions) is O(n). We give a simp...
Maxime Crochemore, Lucian Ilie