The original publication is available at www.springerlink.comInternational audienceA line L is a transversal to a family F of convex polytopes in R^3 if it intersects every member of F. If, in addition, L is an isolated point of the space of line transversals to F, we say that F is a pinning of L. We show that any minimal pinning of a line by polytopes in R^3 such that no face of a polytope is coplanar with the line has size at most eight. If in addition the polytopes are pairwise disjoint, then it has size at most six
A collection of sets F has the (p, q)-property if out of every p elements of F there are q that have...
Abstract: A simplicial complex C on a d-dimensional configuration of n points is k-regular if its fa...
AbstractThe max-flow min-cut theorem is used to give a necessary and sufficient condition for one or...
A line L is a transversal to a family F of convex objects in R^d if it intersects every member of F....
The original publication is available at www.springerlink.comInternational audienceWe show that if a...
The original publication is available at www.springerlink.comInternational audienceWe show that if a...
International audienceIt is known that if n>=2d pairwise disjoint balls in R^d have a unique line ℓ ...
Let $ be used to denote a finite set of planar geometric objects. Define a polygon transversal of $...
International audienceA line L is a transversal to a family F of convex objects in R^d if it interse...
International audienceWe characterize minimal configurations that pin a line in every $2$-plane
International audienceA line L is a transversal to a family F of convex objects in R^d if it interse...
Abstract. We completely describe the structure of the connected components of transversals to a coll...
If every $k$-membered subfamily of a family of plane convex bodies has a line transversal, then we s...
AbstractA fresh look is taken at the fractional Helly theorem for line transversals to families of c...
AbstractA characterization theorem is given for 3-dimensional convex polytopes Q having the followin...
A collection of sets F has the (p, q)-property if out of every p elements of F there are q that have...
Abstract: A simplicial complex C on a d-dimensional configuration of n points is k-regular if its fa...
AbstractThe max-flow min-cut theorem is used to give a necessary and sufficient condition for one or...
A line L is a transversal to a family F of convex objects in R^d if it intersects every member of F....
The original publication is available at www.springerlink.comInternational audienceWe show that if a...
The original publication is available at www.springerlink.comInternational audienceWe show that if a...
International audienceIt is known that if n>=2d pairwise disjoint balls in R^d have a unique line ℓ ...
Let $ be used to denote a finite set of planar geometric objects. Define a polygon transversal of $...
International audienceA line L is a transversal to a family F of convex objects in R^d if it interse...
International audienceWe characterize minimal configurations that pin a line in every $2$-plane
International audienceA line L is a transversal to a family F of convex objects in R^d if it interse...
Abstract. We completely describe the structure of the connected components of transversals to a coll...
If every $k$-membered subfamily of a family of plane convex bodies has a line transversal, then we s...
AbstractA fresh look is taken at the fractional Helly theorem for line transversals to families of c...
AbstractA characterization theorem is given for 3-dimensional convex polytopes Q having the followin...
A collection of sets F has the (p, q)-property if out of every p elements of F there are q that have...
Abstract: A simplicial complex C on a d-dimensional configuration of n points is k-regular if its fa...
AbstractThe max-flow min-cut theorem is used to give a necessary and sufficient condition for one or...