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SODA
1992
ACM
109views Algorithms» more  SODA 1992»
13 years 9 months ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein
AAAI
2010
13 years 8 months ago
Algorithms for Finding Approximate Formations in Games
Many computational problems in game theory, such as finding Nash equilibria, are algorithmically hard to solve. This limitation forces analysts to limit attention to restricted su...
Patrick R. Jordan, Michael P. Wellman
PODC
2010
ACM
13 years 8 months ago
Brief announcement: swarming secrets
We present information-theoretically secure schemes for sharing and modifying secrets among a dynamic swarm of computing devices. The schemes support an unlimited number of change...
Shlomi Dolev, Juan A. Garay, Niv Gilboa, Vladimir ...
CORR
2010
Springer
115views Education» more  CORR 2010»
13 years 8 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 8 months ago
Bit-size estimates for triangular sets in positive dimension
We give bit-size estimates for the coefficients appearing in triangular sets describing positive-dimensional algebraic sets defined over Q. These estimates are worst case upper bo...
Xavier Dahan, Abdulilah Kadri, Éric Schost