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Though embedding problems have been considered for several regular graphs, itis still an open problem for hypercube into torus. In the paper, we prove theconjecture mathematically and obtain the minimum wirelength of embedding forhypercube into Cartesian product of paths and/or cycles. In addition, weexplain that Gray code embedding is an optimal strategy in such embeddingproblems.

Embedding hypercubes into torus and Cartesian product of paths and cycles for minimizing wirelength