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Can someone recommend a reference on graph minors structure theorem and sublinear treewidth?

Can someone recommend a reference on graph minors structure theorem and sublinear treewidth? Doesn't have to be the newest/strongest results as long as it's easier than tracking down all the papers written about these results.

Mostly I'm interested in finding the details about the existence of large grid minors in large treewidth planar and minor free graphs and sublinear treewidth of planar and minor free graphs from basic graph theory.


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