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COMPGEOM
1998
ACM
13 years 11 months ago
1998
ACM
SIAMCOMP
2008
13 years 7 months ago
2008
Helly's theorem says that, if every d+1 elements of a given finite set of convex objects in Rd have a common point, there is a point common to all of the objects in the set. I...
MOR
2006
13 years 7 months ago
2006
We consider optimization problems involving convex risk functions. By employing techniques of convex analysis and optimization theory in vector spaces of measurable functions we d...
DCG
2007
13 years 7 months ago
2007
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
ORDER
2007
13 years 7 months ago
2007
The aim of the present paper is to investigate the half-spaces in the convexity structure of all quasiorders on a given set and to use them in an alternative approach to the dimens...