English

Covering all but the low weight vertices of the unit cube

Combinatorics 2023-04-03 v1

Abstract

In this paper we discuss a result similar to the polynomial version of the Alon-F\"uredi theorem. We prove that if you want to cover the vertices of the nn-dimensional unit cube, except those of weight at most rr then you need an algebraic surface of degree at least nrn-r.

Keywords

Cite

@article{arxiv.2303.18218,
  title  = {Covering all but the low weight vertices of the unit cube},
  author = {Peter Sziklai and Zsuzsa Weiner},
  journal= {arXiv preprint arXiv:2303.18218},
  year   = {2023}
}

Comments

5 pages, published