Scissors congruences, I. The Gauss-Bonnet map.
Scissors congruences, I. The Gauss-Bonnet map corrections.
Sections of simplices.
Self-Assembly of Icosahedral Viral Capsids: the Combinatorial Analysis Approach
An analysis of all possible icosahedral viral capsids is proposed. It takes into account the diversity of coat proteins and their positioning in elementary pentagonal and hexagonal configurations, leading to definite capsid size. We show that the self-organization of observed capsids during their production implies a definite composition and configuration of elementary building blocks. The exact number of different protein dimers is related to the...
Self-dual non-Hamiltonian polyhedra with only two types of faces
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Separation in the polytope algebra.
Separation of convex polyhedral sets with column parameters
Separation is a famous principle and separation properties are important for optimization theory and various applications. In practice, input data are rarely known exactly and it is advisable to deal with parameters. In this article, we are concerned with the basic characteristics (existence, description, stability etc.) of separating hyperplanes of two convex polyhedral sets depending on parameters. We study the case, when parameters are situated in one column of the constraint matrix from the...
Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines
Étant donnés un système de racines d’une des familles A, B, C, D, F, G et le groupe abélien libre qu’il engendre, on calcule explicitement la série de croissance de ce groupe relativement à Les résultats s’interprètent en termes du polynôme d’Ehrhart de l’enveloppe convexe de .
Shellability of a poset of polygonal subdivisions.
Shellable Decompositions of Cells and Spheres.
Shelling Pseudopolyhedra.
Shortness coefficient of cyclically 5-connected cubic planar graphs.
Shortness coefficient of cyclically 5-connected cubic planar graphs. (Short Communication).
Simple 3-polytopal graphs with edges of only two types and shortness coefficients
Simple Vertices of Maximal Minor Polytopes
Simplices rarely contain their circumcenter in high dimensions
Acute triangles are defined by having all angles less than , and are characterized as the triangles containing their circumcenter in the interior. For simplices of dimension , acuteness is defined by demanding that all dihedral angles between -dimensional faces are smaller than . However, there are, in a practical sense, too few acute simplices in general. This is unfortunate, since the acuteness property provides good qualitative features for finite element methods. The property of acuteness...
Simplicial convex 4-polytopes do not have the isotopy property
Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere.
Simplified Voronoi Diagrams.