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Multiple independent spanning trees (ISTs) have applications to fault-tolerant and data broadcasting in interconnections. Thus the designs of multiple ISTs in several classes of networks have been widely investigated. There are two versions of the n ISTs conjecture. The vertex (edge) conjecture is that any n-connected (n-edge-connected) graph has n vertex-ISTs (edge-ISTs) rooted at an arbitrary vertex...
All-to-all personalized exchange (ATAPE) occurs in many parallel applications. Previous ATAPE algorithms were mainly developed for hypercube, mesh, and torus networks. Recently, Yang and Wang and also Massini proposed an alternative approach to ATAPE by using multistage interconnection networks (MINs); they proposed new ATAPE algorithms for a class of unique-path, self-routable MINs (for example,...
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