The treewidth of the n×n toroidal grid is 2n-1 for all n ≥ 5.
A discrete isoperimetric problem on multidimensional torus.Doklady AN Armenia SSR, LXXIV(2):61–65, 1982
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Treewidth of the $n \times n$ toroidal grid
The treewidth of the n×n toroidal grid is 2n-1 for all n ≥ 5.