Add to ORKGThere are many examples for point sets in finite geometry, which behave "almost regularly" in some (well-defined) sense, for instance they have "almost regular" line-intersection numbers. In this paper we investigate point sets of a desarguesian affine plane, for which there exist some (sometimes: many) parallel classes of lines, such that almost all lines of one parallel class intersect our set in the same number of points (possibly mod $p$, the characteristic). The lines with exceptional intersection numbers are called renitent, and we prove results on the (regular) behaviour of these renitent lines
Let S be a finite linear space for which there is a non-negative integer s such that for any two dis...
Projective and affine planes are, besides the degenerate projective planes, the only known examples ...
Abstract. Let P be a set of n points in the plane, not all on a line. We show that if n is large the...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
In this paper, we consider point sets of finite Desarguesian planes whose multisets of intersection ...
A set of type $(m,n)$ is a set $\mathcal K$ of points of a planarspace with the property that each...
In this paper we study sets X of points of both affine and projective spaces over the Galois field ...
In this paper we study sets X of points of both affine and projective spaces over the Galois field ...
Let P be a set of n points in the plane, not all on a line. We show that if n is large then there ar...
Given an arrangement of n not all coincident, not all parallel lines in the (projective or) Euclidea...
The Sylvester-Gallai Theorem [1, 4, 7] tells us that a finite collection of lines in the projective ...
Projective and affine planes are, besides the degenerate projective planes, the only known examples ...
Given an arrangement of n not all coincident, not all parallel lines in the (projective or) Euclidea...
Let S be a finite linear space for which there is a non-negative integer s such that for any two dis...
Projective and affine planes are, besides the degenerate projective planes, the only known examples ...
Abstract. Let P be a set of n points in the plane, not all on a line. We show that if n is large the...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
There are many examples for point sets in finite geometry, which behave "almost regularly" in some (...
In this paper, we consider point sets of finite Desarguesian planes whose multisets of intersection ...
A set of type $(m,n)$ is a set $\mathcal K$ of points of a planarspace with the property that each...
In this paper we study sets X of points of both affine and projective spaces over the Galois field ...
In this paper we study sets X of points of both affine and projective spaces over the Galois field ...
Let P be a set of n points in the plane, not all on a line. We show that if n is large then there ar...
Given an arrangement of n not all coincident, not all parallel lines in the (projective or) Euclidea...
The Sylvester-Gallai Theorem [1, 4, 7] tells us that a finite collection of lines in the projective ...
Projective and affine planes are, besides the degenerate projective planes, the only known examples ...
Given an arrangement of n not all coincident, not all parallel lines in the (projective or) Euclidea...
Let S be a finite linear space for which there is a non-negative integer s such that for any two dis...
Projective and affine planes are, besides the degenerate projective planes, the only known examples ...
Abstract. Let P be a set of n points in the plane, not all on a line. We show that if n is large the...