On lattice polytopes having interior lattice points.
On Lattices with Möbius Function ±1, 0.
On light subgraphs in plane graphs of minimum degree five
A subgraph of a plane graph is light if the sum of the degrees of the vertices of the subgraph in the graph is small. It is well known that a plane graph of minimum degree five contains light edges and light triangles. In this paper we show that every plane graph of minimum degree five contains also light stars and and a light 4-path P₄. The results obtained for and P₄ are best possible.
On Linear Sections of Lattice Packings.
On linked Jordan curves in
On local and global moduli of convexity
On local convexity of nonlinear mappings between Banach spaces
We find conditions for a smooth nonlinear map f: U → V between open subsets of Hilbert or Banach spaces to be locally convex in the sense that for some c and each positive ɛ < c the image f(B ɛ(x)) of each ɛ-ball B ɛ(x) ⊂ U is convex. We give a lower bound on c via the second order Lipschitz constant Lip2(f), the Lipschitz-open constant Lipo(f) of f, and the 2-convexity number conv2(X) of the Banach space X.
On longest circuits in certain non-regular planar graphs
On lower bounds of the density of Delone sets and holes in sequences of sphere packings.
On mappings preserving a family of star bodies.
On maximal ot-subsets of the Euclidean plane.
On minimum area quadrilaterals and triangles circumscribed about convex plane regions.
On minimum kissing numbers of finite translative packings of a convex body.
On mixed sphere packings.
On monotone minimal cuscos
On Multiple Space Subdivisions by Zonotopes.
On Nash theorem
On new isoperimetric inequalities and symmetrization.
On non-inscribable polytopes
On optimal route planning evading cubes in the three space.