English

On the minimum blocking semioval in PG(2,11)

Combinatorics 2023-05-09 v1

Abstract

A blocking semioval is a set of points in a projective plane that is both a blocking set (i.e., every line meets the set, but the set contains no line) and a semioval (i.e., there is a unique tangent line at each point). The smallest size of a blocking semioval is known for all finite projective planes of order less than 11; we investigate the situation in PG(2,11).

Keywords

Cite

@article{arxiv.2305.04907,
  title  = {On the minimum blocking semioval in PG(2,11)},
  author = {Jeremy M. Dover},
  journal= {arXiv preprint arXiv:2305.04907},
  year   = {2023}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-28T10:28:59.602Z