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The following theorem is proved: for all  k ‐connected graphs  G  and  H  each with at least  n  vertices, the treewidth of the cartesian product of  G  and  H  is at least    k  (  n  −  2  k  +  2  )  −  1   . For    n  ≫  k   , this lower bound is asymptotically tight for particular graphs  G  and  H . This theorem generalizes a well‐known result about the treewidth of planar grid graphs.

Treewidth of Cartesian Products of Highly Connected Graphs