Equivalence of Local Treewidth and Linear Local Treewidth and its Algorithmic Applications

We solve an open problem posed by Eppstein in 1995 and re-enforced by Grohe concerning locally bounded treewidth in minor-closed families of graphs. A graph has bounded local treewidth if the subgraph induced by vertices within distance r of any vertex has treewidth bounded by a function of r (not n...

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Bibliographic Details
Main Authors: Demaine, Erik D., Hajiaghayi, Mohammad Taghi
Published: 2023
Online Access:https://hdl.handle.net/1721.1/149989