Sublinear separators, fragility and subexponential expansion [article]

Zdenek Dvorak
2015 arXiv   pre-print
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.
arXiv:1404.7219v2 fatcat:n3oi4gmvmbdf5gcp3edsthlisa