A linear time algorithm for embedding hypercube into cylinder and torus

A linear time algorithm for embedding hypercube into cylinder and torus

In this paper we solve two conjectures proposed by Manuel et al. (2011) [7] to obtain exact wirelength of embedding an r-dimensional hypercube into cylinder C2r1×P2r2 and torus C2r1×C2r2, where r1+r2=r and r1≤r2. We provide a linear time algorithm to compute the exact wirelength of embedding hypercu...

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Veröffentlicht in:Theoretical computer science 2014-07, Vol.542, p.108-115
Hauptverfasser: R., Sundara Rajan, Rajasingh, Indra, N., Parthiban, T.M., Rajalaxmi
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Cylinder
Cylinders
Embedding
Hypercube
Hypercubes
Torus
Wirelength
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Zusammenfassung:In this paper we solve two conjectures proposed by Manuel et al. (2011) [7] to obtain exact wirelength of embedding an r-dimensional hypercube into cylinder C2r1×P2r2 and torus C2r1×C2r2, where r1+r2=r and r1≤r2. We provide a linear time algorithm to compute the exact wirelength of embedding hypercube into cylinder and torus. Further we extend the result for higher dimensional cylinder and torus.
ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2014.05.007