The theory of finite linear spaces - combinatorics of points and lines

On some finite linear spaces with few lines

Frobenius nonclassicality of Fermat curves with respect to cubics

q (F) is a classical problem of broad interest, with well-known applications in a range of di↵erent areas, such as coding theory, finite geometry, additive combinatorics, Waring’s problem over finite fields and exponential sums, see e.g. [2], [3], [5], [9], [10], [13]. In 1986, Stöhr and Voloch introduced a new technique to bound the number of rational points on curves over finite fields [14] ....

A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces

In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.

A New Structural Matching Method Based on Linear Features for High Resolution Satellite Images

  Along with commercial accessibility of high resolution satellite images in recent decades, the issue of extracting accurate 3D spatial information in many fields became the centre of attention and applications related to photogrammetry and remote sensing has increased. To extract such information, the images should be geo-referenced. The procedure of georeferencing is done in four main steps...

More on Regular Linear Spaces

A linear space is a point line incidence geometry with the property that every pair of points is on exactly one line and every line has at least two points. We consider finite linear spaces, i.e. linear spaces with a finite number of points. In [2], the current authors enumerated all linear spaces of order at most 12. More specific types of linear spaces have also been studied. We denote the se...