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Ponencia
On relative isodiametric inequalities
(2004)
We consider subdivisions of convex bodies G in two subsets E and G\E. We obtain several inequalities comparing the relative volume 1) with the minimum relative diameter and 2) with the maximum relative diameter. In the ...
Ponencia
On fencing problems
(2004)
Fencing problems deal with the bisection of a convex body in a way that some geometric measures are optimized. We study bisections of planar bounded convex sets by straight line cuts and also bisections by hyperplane cuts ...
Ponencia
Minimum number of different distances defined by a finite number of points
(2004)
We study the minimum number of different distances defined by a finite number of points in the following cases: a) we consider metrics different from the euclidean distance in the plane, b) we consider the euclidean distance ...