Selected Topics in Graph Theory, lecture 7: Minors in Planar Graphs

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Treewidth - radius relation in planar graphs, excluded grid minors in planar graphs
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Technical point -- I think you want to minimise Q\P, not the symmetric difference.

The problem is that a left excursion can have arbitrarily large intersection with some previous path in P..

(The optimal P symmetric difference Q set of paths might still be optimal though)

alexgunning