# Tree pivot-minors and linear rank-width

@article{Dabrowski2020TreePA, title={Tree pivot-minors and linear rank-width}, author={Konrad K. Dabrowski and F. Dross and Jisu Jeong and M. Kant{\'e} and O. Kwon and Sang-il Oum and D. Paulusma}, journal={ArXiv}, year={2020}, volume={abs/2008.00561} }

Treewidth and its linear variant path-width play a central role for the
graph minor relation. Rank-width and linear rank-width do the same for the graph
pivot-minor relation. Robertson and Seymour (1983) proved that for every tree T
there exists a constant cT such that every graph of path-width at least cT contains T
as a minor. Motivated by this result, we examine whether for every tree T there
exists a constant dT such that every graph of linear rank-width at least dT contains T
as a… Expand

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