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Treewidth of graphs with balanced separations

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arxiv 1408.3869 v2 pith:VCP7FMKN submitted 2014-08-17 math.CO cs.DM

classification math.COcs.DM
keywords treewidthbalancedseparationdependenceestablisheseverygraphgraphs
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abstract

We prove that if every subgraph of a graph $G$ has a balanced separation of order at most $a$ then $G$ has treewidth at most $15a$. This establishes a linear dependence between the treewidth and the separation number.

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