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» Some Lower Bounds on Geometric Separability Problems
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JC
2007
130views more  JC 2007»
14 years 9 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
78
Voted
IV
2002
IEEE
124views Visualization» more  IV 2002»
15 years 2 months ago
Numerical Solving of Geometric Constraints
: In computer-aided design, geometric modeling by constraints enables users to describe shapes by relationships called constraints between geometric elements. The problem is to der...
Samy Ait-Aoudia
MP
2010
99views more  MP 2010»
14 years 8 months ago
Separation, dimension, and facet algorithms for node flow polyhedra
Abstract; Dedicated to Alan J. Hoffman Ball et al. propose a graph model for material compatibility constraints for products such as PCs made from components, where each componen...
Maren Martens, S. Thomas McCormick, Maurice Queyra...
GECCO
2005
Springer
108views Optimization» more  GECCO 2005»
15 years 3 months ago
Some theoretical results about the computation time of evolutionary algorithms
This paper focuses on the computation time of evolutionary algorithms. First, some exact expressions of the mean first hitting times of general evolutionary algorithms in finite...
Lixin X. Ding, Jinghu Yu
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
15 years 7 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff