Abstract
We introduce and analyze a new interconnection topology, called the n-folded Petersen network(F P n ), which is constructed by iteratively applying the cartesian product operation on the well-known Petersen graph itself. The FP n topology provides regularity, node- and edge-symmetry, optimal connectivity (and therefore maximal fault-tolerance), logarithmic diameter, modularity, and simple routing and broadcasting algorithms even in the presence of faults. With the same node-degree and connectivity, F P n has smaller diameter and accommodates more nodes than the 3n-dimensional binary hypercube.
This paper also emphasizes the versatility of FP n as a multiprocessor interconnection topology by providing embeddings of many computationally important structures such as rings, multi-dimensional meshes, hypercubes, complete binary trees, X-trees, tree machines, pyramids and dynamically evolving binary trees.
This work is partially supported by Texas Advanced Research Program Grant under Award No. 003594003.
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Öhring, S.R., Das, S.K. (1994). The folded Petersen network: A new versatile multiprocessor interconnection topology. In: van Leeuwen, J. (eds) Graph-Theoretic Concepts in Computer Science. WG 1993. Lecture Notes in Computer Science, vol 790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57899-4_61
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DOI: https://doi.org/10.1007/3-540-57899-4_61
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