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The Matrix-star, Pancake and RFM graphs also have such a good property of the Star and have a low network cost than the Hypercube. The Matrix-star graph which has the Star graph as a basic module has the node symmetry, the maximum fault tolerance, and the hierarchical decomposition property. And, it is an interconnection network which improves the network cost against the Star graph. In this paper, the authors propose a method to embed among the Matrix-star, Pancake, and RFM graphs using the edge definition of graphs.
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