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GD
2009
Springer
13 years 11 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
ADCM
2004
58views more  ADCM 2004»
13 years 7 months ago
Classification of Bivariate Configurations with Simple Lagrange Interpolation Formulae
In 1977 Chung and Yao introduced a geometric characterization in multivariate interpolation in order to identify distributions of points such that the Lagrange functions are produc...
Jesús M. Carnicer, Mariano Gasca
AML
1999
135views more  AML 1999»
13 years 7 months ago
Random graphs in the monadic theory of order
We continue the works of Gurevich-Shelah and Lifsches-Shelah by showing that it is consistent with ZFC that the first-order theory of random graphs is not interpretable in the mon...
Shmuel Lifsches, Saharon Shelah
JGT
2010
158views more  JGT 2010»
13 years 6 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
CIKM
1998
Springer
13 years 12 months ago
Selectivity Estimation of Window Queries
Despite of the fact that large line segment datasets are appearing more and more frequently in numerous applications involving spatial data, such as GIS 8, 9] multimedia 6] and ev...
Guido Proietti, Christos Faloutsos