The proof of the removable pair conjecture for fractional dimension
Combinatorics
2014-02-03 v2
Abstract
In 1971 Trotter conjectured that every finite poset on at least points has a pair whose removal does not decrease the dimension by more than . In 1992 Brightwell and Scheinerman introduced fractional dimension of posets, and they made a similar conjecture for fractional dimension. This paper settles this latter conjecture.
Cite
@article{arxiv.1312.7332,
title = {The proof of the removable pair conjecture for fractional dimension},
author = {Csaba Biró and Peter Hamburger and Attila Pór},
journal= {arXiv preprint arXiv:1312.7332},
year = {2014}
}