Treewidth of Cartesian Products of Highly Connected Graphs


  • Contract grant sponsor: QEII Research Fellowship from the Australian Research Council (to D. R. W.).


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 math formula. For math formula, 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.