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Folded Petersen Cube Networks: New Competitors for the Hypercubes
February 1996 (vol. 7 no. 2)
pp. 151-168

Abstract—We introduce and analyze a new interconnection topology, called the k-dimensional folded Petersen (FPk) network, which is constructed by iteratively applying the Cartesian product operation on the well-known Petersen graph.

Since the number of nodes in FPk is restricted to a power of ten, for better scalability we propose a generalization, the folded Petersen cube network FPQn,k = Qn×FPk, which is a product of the n-dimensional binary hypercube (Qn) and FPk. The FPQn,k topology provides regularity, node- and edge-symmetry, optimal connectivity (and therefore maximal fault-tolerance), logarithmic diameter, modularity, and permits simple self-routing and broadcasting algorithms. With the same node-degree and connectivity, FPQn,k has smaller diameter and accommodates more nodes than Qn+3k, and its packing density is higher compared to several other product networks.

This paper also emphasizes the versatility of the folded Petersen cube networks as a multicomputer interconnection topology by providing embeddings of many computationally important structures such as rings, multi-dimensional meshes, hypercubes, complete binary trees, tree machines, meshes of trees, and pyramids. The dilation and edge-congestion of all such embeddings are at most two.

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Index Terms:
Average distance, broadcasting, embedding, fault-tolerance, folded Petersen graph, hypercube, interconnection network, mesh, pyramid, routing, tree.
Sabine Öhring, Sajal K. Das, "Folded Petersen Cube Networks: New Competitors for the Hypercubes," IEEE Transactions on Parallel and Distributed Systems, vol. 7, no. 2, pp. 151-168, Feb. 1996, doi:10.1109/71.485505
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