Can You Cover Your Shadows?
Cardinality estimates for piecewise congruences of convex polygons.
Castles in the Air Revisited.
Centrally-symmetric tight surfaces and graph embeddings.
Characterizations of reduced polytopes in finite-dimensional normed spaces.
Characterizations of transversal and fundamental transversal matroids.
Chiral Polytopes from Hyperbolic Honeycombs.
Circle Packings and Polyhedral Surfaces.
Circumradius versus side lengths of triangles in linear normed spaces
Given a planar convex body B centered at the origin, we denote by ℳ ²(B) the Minkowski plane (i.e., two-dimensional linear normed space) with the unit ball B. For a triangle T in ℳ ²(B) we denote by the least possible radius of a Minkowskian ball enclosing T. We remark that in the terminology of location science is the optimum of the minimax location problem with distance induced by B and vertices of T as existing facilities (see, for instance, [HM03] and the references therein). Using methods...
Classes of Graphs Which Approximate the Complete Euclidean Graph.
Classical solids.
Classification of dodecahedral space forms.
Classification of six-point metrics.
Colouring Platonic Solids
Combinatorial 3-manifolds with 10 vertices.
Combinatorial construction of toric residues.
In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated polytopes are essential. We reduce the problem to finding a collection of partitions of the lattice points in the polytopes satisfying a certain combinatorial property. We use this description to solve the problem when and for any when the polytopes of the divisors share a complete flag of faces. The latter generalizes earlier...
Combinatorial fans, lattice-ordered groups, and their neighbours: A short excursion.
Combinatorial formulae for multiple set-valued labellings.
Combinatorial Models for the Finite-Dimensional Grassmannians.
Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)