Abstract
Embedding and channel assignment is a key topic in optical interconnection networks. Based on RP(k) network, a scheme to embed a hypercube into RP(k) is given and the wavelength assignment of realizing the Hypercube communication on RP(k) network is discussed in this paper. By introducing the reverse order of Hypercube, an algorithm to embed the n-Dimension Hypercube into RP(k) is designed, which multiplexes at most max{2, \(\lfloor5 * {N} / 96 \rfloor\}\) wavelengths. An algorithm to embed the n-Dimension Hypercube into the ring network is also proposed, with its congestion equal to \(\lfloor{ N} / 3 + {N} / 12 \rfloor\). It is a better improvement than the known result, which is equal to \(\lfloor{N} / 3 + { N} / 4 \rfloor\). The analyses prove that it is easier to realize the Hypercube communication on RP(k) network.
Supported by the National Natural Science Foundation of China under Grant No. 60373063.
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Liu, F., Wang, X., Xu, L. (2005). The Channel Assignment Algorithm on RP(k) Networks. In: Srikanthan, T., Xue, J., Chang, CH. (eds) Advances in Computer Systems Architecture. ACSAC 2005. Lecture Notes in Computer Science, vol 3740. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11572961_39
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DOI: https://doi.org/10.1007/11572961_39
Publisher Name: Springer, Berlin, Heidelberg
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