Approximating the isoperimetric number of strongly regular graphs.
Approximation of Convex Bodies by Polytopes with Uniformly Bounded Valences.
Approximation of Convex Discs by Polygons.
Area preserving pl homeomorphisms and relations in
To any compactly supported, area preserving, piecewise linear homeomorphism of the plane is associated a relation in of the smallest field whose elements are needed to write the homeomorphism.Using a formula of J. Morita, we show how to calculate the relation, in some simple cases. As applications, a “reciprocity” formula for a pair of triangles in the plane, and some explicit elements of torsion in of certain function fields are found.
Asymptotic-group analysis of algebraic equations.
Au bord de certains polyèdres hyperboliques
Le cadre de cet article est celui des groupes et des espaces hyperboliques de M. Gromov. Il est motivé par la question suivante : comment différencier deux groupes hyperboliques à quasi-isométrie près ? On illustre ce problème en détaillant un exemple de M. Gromov issu de Asymptotic invariants for infinite groups. On décrit une famille infinie de groupes hyperboliques, deux à deux non quasi-isométriques, de bord la courbe de Menger. La méthode consiste à étudier leur structure quasi-conforme au...
Automorphismen von polyedrischen Graphen.
Balanced Subdivision and Enumeration in Balanced Spheres.
Banach-Euclidean four-point properties
Bemerkungen zu Determinanten-Theorie. Auszug aus Briefen an Herrn Baltzer.
Bergman complexes, Coxeter arrangements, and graph associahedra.
Bigèbres différentielles graduées associées aux permutoèdres, associaèdres et hypercubes
On définit une structure de bigèbre différentielle graduée sur la somme directe des complexes cellulaires des permutoèdres, qui contient une sous-bigèbre différentielle graduée dont le complexe sous-jacent est la somme directe des complexes cellulaires des polytopes de Stasheff. Ceci étend des constructions de Malvenuto et Reutenauer et de Loday et Ronco pour les sommets des mêmes polytopes.
Bose's vertex theorem for simply closed polygons.
Boundary of polyhedral spaces: an alternative proof.
A Banach space X is called polyhedral if the unit ball of each one of its finite-dimensional (equivalently: two-dimensional [6]) subspaces is a polytope. Polyhedral spaces were studied by various authors; most of the structural results are due to V. Fonf. We refer the reader to the surveys [1], [2] for other definitions of polyhedrality, main properties and bibliography. In this paper we present a short alternative proof of the basic result on the structure of the unit ball of the polyhedral space...
Bounding the degrees of generators of a homogeneous dimension 2 toric ideal.
solutions of rate independent differential inclusions
We consider a class of evolution differential inclusions defining the so-called stop operator arising in elastoplasticity, ferromagnetism, and phase transitions. These differential inclusions depend on a constraint which is represented by a convex set that is called the characteristic set. For (bounded variation) data we compare different notions of solutions and study how the continuity properties of the solution operators are related to the characteristic set. In the finite-dimensional case...
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.