English

Line Percolation in Finite Projective Planes

Combinatorics 2016-08-02 v1

Abstract

We study combinatorial parameters of a recently introduced bootstrap percolation problem in finite projective planes. We present sharp results on the size of the minimum percolating sets and the maximal non-percolating sets. Additional results on the minimal and maximal percolation time as well as on the critical probability in the projective plane are also presented.

Keywords

Cite

@article{arxiv.1608.00531,
  title  = {Line Percolation in Finite Projective Planes},
  author = {Dániel Gerbner and Balázs Keszegh and Gábor Mészáros and Balázs Patkós and Máté Vizer},
  journal= {arXiv preprint arXiv:1608.00531},
  year   = {2016}
}
R2 v1 2026-06-22T15:09:21.618Z