Corpus ID: 201271493

# 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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