Strongly sublinear separators and polynomial expansion
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2015
- DOI:
- 10.48550/arXiv.1504.04821
- arXiv:
- arXiv:1504.04821
- Bibcode:
- 2015arXiv150404821D
- Keywords:
-
- Mathematics - Combinatorics;
- 05C42;
- G.2.2
- E-Print:
- 9 pages, no figures