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CORR
2011
Springer
155views Education» more  CORR 2011»
14 years 10 months ago
On the Generation of Positivstellensatz Witnesses in Degenerate Cases
One can reduce the problem of proving that a polynomial is nonnegative, or more generally of proving that a system of polynomial inequalities has no solutions, to finding polynomi...
David Monniaux, Pierre Corbineau
CVPR
2011
IEEE
14 years 10 months ago
Multiscale Geometric and Spectral Analysis of Plane Arrangements
Modeling data by multiple low-dimensional planes is an important problem in many applications such as computer vision and pattern recognition. In the most general setting where on...
Guangliang Chen, Mauro Maggioni
ICALP
2009
Springer
16 years 7 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
SIGMOD
2005
ACM
215views Database» more  SIGMOD 2005»
16 years 7 months ago
Nested intervals tree encoding in SQL
Nested Intervals generalize Nested Sets. They are immune to hierarchy reorganization problem. They allow answering ancestor path hierarchical queries algorithmically - without acc...
Vadim Tropashko
PODS
2008
ACM
123views Database» more  PODS 2008»
16 years 7 months ago
Evaluating rank joins with optimal cost
In the rank join problem, we are given a set of relations and a scoring function, and the goal is to return the join results with the top K scores. It is often the case in practic...
Karl Schnaitter, Neoklis Polyzotis