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.
CITATION STYLE
Rolim, J., Sýkora, O., & Vrt’o, I. (1995). Optimal cutwidths and bisection widths of 2- and 3-dimensional meshes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1017, pp. 252–264). Springer Verlag. https://doi.org/10.1007/3-540-60618-1_80
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