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» Convex Functions on Discrete Sets
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SODA
2010
ACM
176views Algorithms» more  SODA 2010»
15 years 9 months ago
Self-improving Algorithms for Convex Hulls
We describe an algorithm for computing planar convex hulls in the self-improving model: given a sequence I1, I2, . . . of planar n-point sets, the upper convex hull conv(I) of eac...
Kenneth L. Clarkson, Wolfgang Mulzer, C. Seshadhri
JCDCG
2000
Springer
15 years 3 months ago
Sequentially Divisible Dissections of Simple Polygons
A k-dissection D of a polygon P, is a partition of P into a set of subpolygons {Q1, . . . , Qm} with disjoint interiors such that these can be reassembled to form k polygons P1, ....
Jin Akiyama, Toshinori Sakai, Jorge Urrutia
HYBRID
2009
Springer
15 years 6 months ago
Computation of Discrete Abstractions of Arbitrary Memory Span for Nonlinear Sampled Systems
ion of discrete abstractions of arbitrary memory span for nonlinear sampled systems Gunther Reißig⋆ Technische Universit¨at Berlin, Fakult¨at Elektrotechnik und Informatik, He...
Gunther Reißig
SAGT
2009
Springer
177views Game Theory» more  SAGT 2009»
15 years 6 months ago
Characterizing Incentive Compatibility for Convex Valuations
We study implementability in dominant strategies of social choice functions when sets of types are multi-dimensional and convex, sets of outcomes are arbitrary, valuations for outc...
André Berger, Rudolf Müller, Seyed Hos...
SIAMJO
2008
85views more  SIAMJO 2008»
14 years 11 months ago
Explicit Reformulations for Robust Optimization Problems with General Uncertainty Sets
We consider a rather general class of mathematical programming problems with data uncertainty, where the uncertainty set is represented by a system of convex inequalities. We prove...
Igor Averbakh, Yun-Bin Zhao