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Abstract

In this paper we characterise the graphs containing a \(\mathbb {Z} \times \mathbb {Z}\) grid minor in a similar way as it has been done by Halin for graphs with an \(\mathbb {N} \times \mathbb {Z}\) grid minor. Using our characterisation, we describe the structure of graphs without \(\mathbb {Z} \times \mathbb {Z}\) grid minors in terms of tree-decompositions.

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Correspondence to Karl Heuer.

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Heuer, K. Excluding a full grid minor. Abh. Math. Semin. Univ. Hambg. 87, 265–274 (2017). https://doi.org/10.1007/s12188-016-0165-y

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  • DOI: https://doi.org/10.1007/s12188-016-0165-y

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