Optimal Cutwidths and Bisection Widths of 2- and 3-Dimensional Meshes

We prove exact cutwidths and bisection widths of ordinary, cylindrical and toroidal meshes. This answers an open problem in [9]. We also give upper bounds for cutwidths and bisection widths of many dimensional meshes. Furthemore, we show the exact cyclic cutwidth of 2-dimensional toroidal meshes and prove optimal upper and lower bounds for other meshes.