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Optimal embedding of a toroidal mesh in a path

Paterson, Michael S. and Schröder, Heiko and Sýkora, Ondrej and Vrto, Imrich

MPI-I-91-126. November 1991, 6 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We prove that the dilation of
an $m \times n$ toroidal mesh in
an $mn$-vertex path equals
$2\min\{m,n\}$, if $m\not= n$ and $2n-1$, if $m=n$.
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  AUTHOR = {Paterson, Michael S. and Schr{\"o}der, Heiko and Sýkora, Ondrej and Vrto, Imrich},
  TITLE = {Optimal embedding of a toroidal mesh in a path},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-91-126},
  MONTH = {November},
  YEAR = {1991},
  ISSN = {0946-011X},