Shelling Pseudopolyhedra.
Shift inequalities of Gaussian type and norms of barycentres
We derive the equivalence of different forms of Gaussian type shift inequalities. This completes previous results by Bobkov. Our argument strongly relies on the Gaussian model for which we give a geometric approach in terms of norms of barycentres. Similar inequalities hold in the discrete setting; they improve the known results on the so-called isodiametral problem for the discrete cube. The study of norms of barycentres for subsets of convex bodies completes the exposition.
Shortest Watchman Routes in Simple Polygons.
Shortness coefficient of cyclically 5-connected cubic planar graphs.
Shortness coefficient of cyclically 5-connected cubic planar graphs. (Short Communication).
Simple 3-polytopal graphs with edges of only two types and shortness coefficients
Simple polygons with an infinite sequence of deflations.
Simple Vertices of Maximal Minor Polytopes
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 convex 4-polytopes do not have the isotopy property
Simplicial homology of preconvexity spaces
Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere.
Simplified Voronoi Diagrams.
Simulated factorizations II.
Singular points of a convex tiling.
Singular sets of convex bodies and surfaces with generalized curvatures.
Six little squares and how their numbers grow.
Six lonely runners.
Small sets in convex geometry and formal independence over ZFC.
Smoothness of sums of convex sets with real analytic boundaries.