Corpus ID: 44191035

On classes of graphs with strongly sublinear separators

  title={On classes of graphs with strongly sublinear separators},
  author={Zdenvek Dvovr'ak},
For real numbers c, ε > 0, let Gc,ε denote the class of graphs G such that each subgraph H of G has a balanced separator of order at most c|V (H)|1−ε. A class G of graphs has strongly sublinear separators if G ⊆ Gc,ε for some c, ε > 0. We investigate properties of such graph classes, leading in particular to an approximate algorithm to determine membership in Gc,ε: there exist c > 0 such that for each input graphG, this algorithm in polynomial time determines either that G ∈ Gc′,ε2/160, or that… Expand


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  • 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
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