Counting -polytopes with vertices.
Counting Facets and Incidences.
Counting simplexes in .
Counting unrooted maps using tree-decomposition.
Covering the Plane with Convex Polygons.
Crofton measures in polytopal Hilbert geometries.
Curvature on a graph via its geometric spectrum
We approach the problem of defining curvature on a graph by attempting to attach a ‘best-fit polytope’ to each vertex, or more precisely what we refer to as a configured star. How this should be done depends upon the global structure of the graph which is reflected in its geometric spectrum. Mean curvature is the most natural curvature that arises in this context and corresponds to local liftings of the graph into a suitable Euclidean space. We discuss some examples.
Cutting Hyperplanes for Divide-and-Conquer.
Das Volumen spezieller konvexer Polytope
Decomposability of Abstract and Path-Induced Convexities in Hypergraphs
An abstract convexity space on a connected hypergraph H with vertex set V (H) is a family C of subsets of V (H) (to be called the convex sets of H) such that: (i) C contains the empty set and V (H), (ii) C is closed under intersection, and (iii) every set in C is connected in H. A convex set X of H is a minimal vertex convex separator of H if there exist two vertices of H that are separated by X and are not separated by any convex set that is a proper subset of X. A nonempty subset X of V (H) is...
Décomposition des polyèdres : le point sur le troisième problème de Hilbert
Dense Sets of Polytopes in P3
Détermination et construction nouvelle du cercle qui coupe trois cercles sous trois angles donnés et de la sphère qui coupe quatre sphères sous des angles donnés
Diagonals on the permutahedra, multiplihedra and associahedra.
Dichte Klassen konvexer Polytope.
Die Anzahl der primitiven Polytope im ... mit 2 d - 2 Facetten.
Die Dehnsche Zerlegungsinvariante für hyperbolische Polyederbausteine.
Die konvexen Polytope im ..., bei denen alle Facetten reguläre Tetraeder sind.
Die primitiven Polytope des Rd mit d + 2 und mit 2d - 1 Facetten.
Differential modules defined by systems of equations