A Polynomial-Time Linear Decision Tree for the Traveling Salesman Problem and Other NP-Complete Problems.
A positive solution to the Busemann-Petty problem in .
A Postscript on Distances in Convex n-Gons.
A Power Law for the Distortion of Planar Sets.
A problem of Schinzel on lattice points
A Proof of a General Isoperimetric Inequality for Surfaces.
A Proof of Bárány's Theorem
A proof of two conjectures related to the Erdős-Debrunner inequality.
A purely combinatorial proof of the Hadwiger Debrunner conjecture.
A quantitative isoperimetric inequality in n-dimensional space.
A quantitative Steinitz' theorem.
A quantitative version of the isoperimetric inequality : the anisotropic case
We state and prove a stability result for the anisotropic version of the isoperimetric inequality. Namely if is a set with small anisotropic isoperimetric deficit, then is “close” to the Wulff shape set.
A reciprocity theorem for domino tilings.
A Rédei type factorization result for a special 2-group.
A Reduction of Lattice Tiling by Translates of a Cubical Cluster.
A refined Brunn-Minkowski inequality for convex sets
A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.The Weyl group W(E8) acts on the con guration space of systems of labelled eight lines on a real projective plane. With a system of eight lines with a certain condition, a diagram consisting of ten roots of the root system of type E8 is associated. We have already shown the existence of a W(E8)-equivariant map of the totality of such diagrams to the set of systems of...
A remark about the directed line-elements in the plane
A remark on mixed curvature measures for sets with positive reach.
A Remark to the Paper of H. Hadwiger "Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl".