Year: 2014
Type: preprint
Abstract: Let G be a subgraph-closed graph class with bounded maximum degree. We show that if G has balanced separators whose size is smaller than linear by a polynomial factor, then G has subexponential expansion. This gives a partial converse to a result of Nešetřil and Ossona de Mendez. As an intermediate step, the proof uses a new kind of graph decompositions.
Source: arXiv (Cornell University)
Author: Dvorak, Zdenek
Institution: Charles University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G8638956011
OpenAlex ID: W2953110340