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COCOON
2011
Springer
12 years 9 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»
13 years 8 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»
13 years 9 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»
14 years 4 months 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»
13 years 11 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