AbstractWe disprove a conjecture of B. Grünbaum by constructing an arrangement A12 of 12 (straight) lines in the projective plane such that in the cell complex associated with A12 no two triangles have a common vertex. Furthermore we describe recursive constructions for pseudoline arrangements without adjacent triangles
An arrangement of pseudocircles is a finite collection of Jordan curves in the plane with the additi...
We demonstrate an infinite family of pseudoline arrangements, in which an arrangement of n pseudo-li...
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudoline...
Abstract. The number of triangles in arrangements of lines and pseudolines has been object of some r...
E mail ffelsnerkriegelginffuberlinde Abstract The number of triangles in arrangements of lines and ...
Arrangements of lines and pseudolines are important and appealing objects for research in discrete a...
AbstractGrünbaum has conjectured that any arrangement ofnpseudolines in the real projective plane ha...
Abstract. Let A be an arrangement of n pseudolines in the real projective plane and let p3(A) be the...
AbstractWe prove Grünbaum's conjecture that every arrangement of eight pseudolines in the projective...
It is shown that if a simple Euclidean arrangement of n pseudolines has no (>= 5)-gons, then it has ...
We give some new advances in the research of the maximum number of triangles that we may obtain in a...
In this work we study line arrangements consisting in lines passing throughthree non-aligned points....
We consider arrangements of n pseudo-lines in the Euclidean plane where each pseudo-line ℓi is repre...
A pseudocircle is a simple closed curve on the sphere or in the plane. The study of arrangements of ...
AbstractA set of n lines in the projective plane divides the plane into a certain number of polygona...
An arrangement of pseudocircles is a finite collection of Jordan curves in the plane with the additi...
We demonstrate an infinite family of pseudoline arrangements, in which an arrangement of n pseudo-li...
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudoline...
Abstract. The number of triangles in arrangements of lines and pseudolines has been object of some r...
E mail ffelsnerkriegelginffuberlinde Abstract The number of triangles in arrangements of lines and ...
Arrangements of lines and pseudolines are important and appealing objects for research in discrete a...
AbstractGrünbaum has conjectured that any arrangement ofnpseudolines in the real projective plane ha...
Abstract. Let A be an arrangement of n pseudolines in the real projective plane and let p3(A) be the...
AbstractWe prove Grünbaum's conjecture that every arrangement of eight pseudolines in the projective...
It is shown that if a simple Euclidean arrangement of n pseudolines has no (>= 5)-gons, then it has ...
We give some new advances in the research of the maximum number of triangles that we may obtain in a...
In this work we study line arrangements consisting in lines passing throughthree non-aligned points....
We consider arrangements of n pseudo-lines in the Euclidean plane where each pseudo-line ℓi is repre...
A pseudocircle is a simple closed curve on the sphere or in the plane. The study of arrangements of ...
AbstractA set of n lines in the projective plane divides the plane into a certain number of polygona...
An arrangement of pseudocircles is a finite collection of Jordan curves in the plane with the additi...
We demonstrate an infinite family of pseudoline arrangements, in which an arrangement of n pseudo-li...
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudoline...
DOI
Add to ORKG