Convex curves of bounded type.
Convex Disks Can Cover Their Shadow.
Convex Functions on Dual Systems.
Convex half-spaces
Convex hulls of integral points.
Convex hulls of polyominoes.
Convex hulls of spatial polygons with a fixed convex projection.
Convex hulls, Sticky particle dynamics and Pressure-less gas system
We introduce a new condition which extends the definition of sticky particle dynamics to the case of discontinuous initial velocities with negative jumps. We show the existence of a stochastic process and a forward flow satisfying and , where is the law of and is the velocity of particle at time . Results on the flow characterization and Lipschitz continuity are also given.Moreover, the map is the entropy solution of a scalar conservation law where the flux represents the particles...
Convex Independent Sets and 7-Holes in Restricted Planar Point Sets.
Convex inequalities and the Hahn-Banach Theorem [Book]
Convex Polyhedra With Triangular Faces and Cone Triangulation
Convex polytopes as matrix invariants
Convex Polytopes Whose Projection Bodies and Difference Sets Are Polars.
Convex sets and inequalities.
Convex sets with homothetic projections.
Convex Surfaces Whose Geodesics Are Planar.
Convex universal fixers
In [1] Burger and Mynhardt introduced the idea of universal fixers. Let G = (V, E) be a graph with n vertices and G’ a copy of G. For a bijective function π: V(G) → V(G’), define the prism πG of G as follows: V(πG) = V(G) ∪ V(G’) and , where . Let γ(G) be the domination number of G. If γ(πG) = γ(G) for any bijective function π, then G is called a universal fixer. In [9] it is conjectured that the only universal fixers are the edgeless graphs K̅ₙ. In this work we generalize the concept of universal...
Convex-ear decompositions and the flag -vector.
Convexes hyperboliques et fonctions quasisymétriques
Every bounded convex open set Ω of Rm is endowed with its Hilbert metric dΩ. We give a necessary and sufficient condition, called quasisymmetric convexity, for this metric space to be hyperbolic. As a corollary, when the boundary is real analytic, Ω is always hyperbolic. In dimension 2, this condition is: in affine coordinates, the boundary ∂Ω is locally the graph of a C1 strictly convex function whose derivative is quasisymmetric.
Convexity in subsets of lattices.
The notion of convex set for subsets of lattices in one particular case was introduced in [1], where it was used to study Paretto's principle in the theory of group choice. This notion is based on a betweenness relation due to Glivenko [2]. Betweenness is used very widely in lattice theory as basis for lattice geometry (see [3], and, especially [4 part 1]).In the present paper the relative notions of convexity are considered for subsets of an arbitrary lattice.In section 1 certain relative notions...