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<p><b>Abstract</b>—This paper presents a new decomposition technique for hierarchical Cayley graphs. This technique yields a very easy implementation of the divide and conquer paradigm for some problems on very complex architectures as the <it>star graph</it> or the <it>pancake</it>. As applications, we introduce algorithms for broadcasting and prefix-like operations that improve the best known bounds for these problems. We also give the first nontrivial optimal gossiping algorithms for these networks. In star-graphs and pancakes with <it>N</it> = <it>n</it>! processors, our algorithms take less than <tmath>$\lceil {\rm log}\ N\rceil + 1.5n$</tmath> steps.</p>
Interconnection networks, parallel computing, parallel architectures, communication algorithms, star graph, pancake graph, Cayley graphs, broadcast, gossip, parallel prefix.

P. Berthomé, A. Ferreira and S. Perennes, "Optimal Information Dissemination in Star and Pancake Networks," in IEEE Transactions on Parallel & Distributed Systems, vol. 7, no. , pp. 1292-1300, 1996.
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