Strongly Sublinear Separators and Polynomial Expansion
Zdenĕk Dvořák, Sergey Norin · SIAM Journal on Discrete Mathematics · 2016
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.