Grid minors in damaged grids
The electronic journal of combinatorics, Tome 21 (2014) no. 3
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Zbl arXiv
We prove upper and lower bounds on the size of the largest square grid graph that is a subgraph, minor, or shallow minor of a graph in the form of a larger square grid from which a specified number of vertices have been deleted. Our bounds are tight to within constant factors. We also provide less-tight bounds on analogous problems for higher-dimensional grids.
DOI :
10.37236/3872
Classification :
05C83, 05C12
Mots-clés : grid graphs, graph minors, subgraphs, shallow minors, treewidth, vertex deletion
Mots-clés : grid graphs, graph minors, subgraphs, shallow minors, treewidth, vertex deletion
Affiliations des auteurs :
David Eppstein  1
David Eppstein. Grid minors in damaged grids. The electronic journal of combinatorics, Tome 21 (2014) no. 3. doi: 10.37236/3872
@article{10_37236_3872,
author = {David Eppstein},
title = {Grid minors in damaged grids},
journal = {The electronic journal of combinatorics},
year = {2014},
volume = {21},
number = {3},
doi = {10.37236/3872},
zbl = {1300.05292},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3872/}
}
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