New blog post: Layered pathwidth and its obstacles

https://11011110.github.io/blog/2018/10/22/layered-pathwidth-obstacles.html

I describe my new preprint with Dujmović, Joret, Morin, and Wood proving that a minor-closed graph family has bounded local pathwidth, linear local pathwidth, or bounded layered pathwidth iff it excludes an apex-tree, and compare analogous results in which the structure of a forbidden minor tells you about the structure of the graphs in a minor-closed family.