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Cutwidth of the r-dimensional Mesh of d-ary Trees

Published online by Cambridge University Press:  15 April 2002

Imrich Vrťo
Imrich Vrťo*
Affiliation:
Institute of Mathematics, Slovak Academy of Sciences, P.O. Box 56, 84000 Bratislava, Slovak Republic.
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Abstract

We prove that the cutwidth of the r-dimensional mesh of d-ary trees is of order $\Theta(d^{(r-1)n+1})$, which improves and generalizes previous results.

Keywords

Bisectioncutwidthinterconnection networksmesh of trees.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 6 , November 2000 , pp. 515 - 519
Copyright
© EDP Sciences, 2000

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References

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