Shortest Watchman Routes in Simple Polygons.
Simplices rarely contain their circumcenter in high dimensions
Acute triangles are defined by having all angles less than , and are characterized as the triangles containing their circumcenter in the interior. For simplices of dimension , acuteness is defined by demanding that all dihedral angles between -dimensional faces are smaller than . However, there are, in a practical sense, too few acute simplices in general. This is unfortunate, since the acuteness property provides good qualitative features for finite element methods. The property of acuteness...
Simplicial homology of preconvexity spaces
Simplified Voronoi Diagrams.
Singular sets of convex bodies and surfaces with generalized curvatures.
Six lonely runners.
Small sets in convex geometry and formal independence over ZFC.
Smoothness of sums of convex sets with real analytic boundaries.
Smoothness of vector sums of plane convex sets.
Sobolev and isoperimetric inequalities for degenerate metrics.
Sobre un cono convexo asociado a un grafo.
En este artículo se construye un cono convexo sobre un grafo y se estudian las propiedades básicas de este cono convexo: dimensión, linealidad y sistemas minimales de generadores. El interés de esta situación tiene su origen en problemas de decisión, donde la información disponible está dada por órdenes parciales entre las componentes de la información. Sin embargo, el estudio realizado es independiente de los problemas de decisión que lo motivan.
Solution branching of a general perimeter partition problem.
Solution to a problem of S. Rolewicz
Some characterization of infinite antimatroids.
Some characterization of locally nonconical convex sets
A closed convex set in a local convex topological Hausdorff spaces is called locally nonconical (LNC) if for every there exists an open neighbourhood of such that . A set is local cylindric (LC) if for , , there exists an open neighbourhood of such that (equivalently: ) is a union of open segments parallel to . In this paper we prove that these two notions are equivalent. The properties LNC and LC were investigated in [3], where the implication was proved in general, while...
Some extensions of the class of -convex bodies.
Some Extremal Results on Circles Containing Points.
Some Geometric Applications of Dilworth's Theorem.
Some geometric inequalities for the Holmes-Thompson definitions of volume and surface area in Minkowski spaces.
Some geometric probability problems involving the Eulerian numbers.