The de Bruijn-Erd\"os-Hanani theorem
Combinatorics
2017-05-31 v1 History and Overview
Abstract
The paper is devoted to a somewhat idiosyncratic account of the theorem of de Bruijn-Erd\"{o}s and Hanani from the combinatorics of finite geometries and its various proofs. Among the proofs discussed are the original proofs by de Bruijn--Erd\"{o}s and Hanani and few others. It is explained how one of the proofs was discovered, and how another one could have been discovered.
Cite
@article{arxiv.1705.08706,
title = {The de Bruijn-Erd\"os-Hanani theorem},
author = {Nikolai V. Ivanov},
journal= {arXiv preprint arXiv:1705.08706},
year = {2017}
}
Comments
25 pages