Saddle point theorems on generalized convex spaces.
Sausages are Good Packings.
Schur-convexity for a class of symmetric functions and its applications.
Scissors congruences, I. The Gauss-Bonnet map.
Scissors congruences, I. The Gauss-Bonnet map corrections.
Section and Projection Means of Convex Bodies.
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
Self-Packing of Centrally Symmetric Convex Bodies in R2 .
Self-similar and Markov composition structures.
Self-Similar Lattice Tillings.
Semiconvex compacta
We define and investigate a generalization of the notion of convex compacta. Namely, for semiconvex combination in a semiconvex compactum we allow the existence of non-trivial loops connecting a point with itself. It is proved that any semiconvex compactum contains two non-empty convex compacta, the center and the weak center. The center is the largest compactum such that semiconvex combination induces a convex structure on it. The convex structure on the weak center does not necessarily coincide...
Semimatroids and their Tutte polynomials.
Semi-monotone sets
A coordinate cone in is an intersection of some coordinate hyperplanes and open coordinate half-spaces. A semi-monotone set is an open bounded subset of , definable in an o-minimal structure over the reals, such that its intersection with any translation of any coordinate cone is connected. This notion can be viewed as a generalization of convexity. Semi-monotone sets have a number of interesting geometric and combinatorial properties. The main result of the paper is that every semi-monotone...
Separating Convex Sets in the Plane.
Separating plane convex sets.
Separating Two Simple Polygons by a Sequence of Translations.
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Séparation forte -branlante de deux convexes