English

The number of directions determined by less than $q$ points

Combinatorics 2014-07-23 v1

Abstract

In this article we prove a theorem about the number of directions determined by less then qq affine points, similar to the result of Blokhuis et al. (in J. Comb. Theory Ser. A 86(1), 187-196, 1999) on the number of directions determined by qq affine points.

Keywords

Cite

@article{arxiv.1407.5638,
  title  = {The number of directions determined by less than $q$ points},
  author = {Szabolcs L. Fancsali and Péter Sziklai and Marcella Takáts},
  journal= {arXiv preprint arXiv:1407.5638},
  year   = {2014}
}

Comments

12 pages. NOTICE: this is the authors' version of a work that was submitted for publication in J. Algebr. Combin. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms are not reflected in this document. The final publication is available at Springer via doi:10.1007/s10801-012-0357-1