The de Bruijn-Erd\"os theorem in incidence geometry via Ph. Hall's marriage theorem
Combinatorics
2017-04-25 v2
Abstract
The paper is devoted to a proof of the de Bruijn-Erd\"os theorem in incidence geometry based on the Ph. Hall's marriage theorem (the theorem about the systems of distinct representatives).
Keywords
Cite
@article{arxiv.1704.04343,
title = {The de Bruijn-Erd\"os theorem in incidence geometry via Ph. Hall's marriage theorem},
author = {Nikolai V. Ivanov},
journal= {arXiv preprint arXiv:1704.04343},
year = {2017}
}
Comments
4 pages. The proof in the case of the equality is rearranged and simplified