Strongly sublinear separators and polynomial expansion
Combinatorics
2015-04-21 v1
Abstract
A result of Plotkin, Rao, and Smith implies that graphs with polynomial expansion have strongly sublinear separators. We prove a converse of this result showing that hereditary classes of graphs with strongly sublinear separators have polynomial expansion. This confirms a conjecture of the first author.
Keywords
Cite
@article{arxiv.1504.04821,
title = {Strongly sublinear separators and polynomial expansion},
author = {Zdenek Dvorak and Sergey Norin},
journal= {arXiv preprint arXiv:1504.04821},
year = {2015}
}
Comments
9 pages, no figures