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COCOON
2011
Springer
14 years 6 months ago
Proper n-Cell Polycubes in n - 3 Dimensions
A d-dimensional polycube of size n is a connected set of n cubes in d dimensions, where connectivity is through (d−1)-dimensional faces. Enumeration of polycubes, and, in particu...
Andrei Asinowski, Gill Barequet, Ronnie Barequet, ...
MP
2010
128views more  MP 2010»
15 years 4 months ago
Perspective reformulations of mixed integer nonlinear programs with indicator variables
Abstract. We study mixed integer nonlinear programs (MINLP)s that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision ...
Oktay Günlük, Jeff Linderoth
EOR
2002
87views more  EOR 2002»
15 years 6 months ago
On the finite convergence of successive SDP relaxation methods
Let F be a subset of the n-dimensional Euclidean space Rn represented in terms of a compact convex subset C0 and a set PF of nitely or in nitely many quadratic functions on Rn such...
Masakazu Kojima, Levent Tunçel
ISAAC
2007
Springer
80views Algorithms» more  ISAAC 2007»
16 years 9 days ago
Geometric Streaming Algorithms with a Sorting Primitive
We solve several fundamental geometric problems under a new streaming model recently proposed by Ruhl et al. [2, 12]. In this model, in one pass the input stream can be scanned to ...
Eric Y. Chen
SODA
1992
ACM
109views Algorithms» more  SODA 1992»
15 years 7 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