A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
Near Embeddings of Hypercubes into Cayley Graphs on the Symmetric Group
IEEE Transactions on Computers
Embedding Complete Binary Trees into Star Networks
MFCS '94 Proceedings of the 19th International Symposium on Mathematical Foundations of Computer Science 1994
Euro-Par '96 Proceedings of the Second International Euro-Par Conference on Parallel Processing - Volume I
A comparative study of job allocation and migration in the pancake network
Information Sciences: an International Journal
A parallel algorithm for interpolation in pancake graph
SEPADS'07 Proceedings of the 6th WSEAS International Conference on Software Engineering, Parallel and Distributed Systems
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The pancake is one of the Cayley graphs that were proposed as alternatives to the hypercube for interconnecting processors in parallel computers. Some good properties of this interconnection network include: vertex symmetry, small degree and diameter, extendability, and high connectivity (robustness). We present constant dilation embeddings of rings, grids, and hypercubes into the pancake. We also show that some of these embeddings lead to similar efficient embeddings into the star graph.