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The Perron–Frobenius (PF) theorem provides a simple characterization of the eigenvectors and eigenvalues of irreducible nonnegative square matrices. A generalization of the PF theorem to nonsquare matrices, which can be interpreted as representing systems with additional degrees of freedom, was recently presented in [1]. This generalized theorem requires a notion of irreducibility for nonsquare systems...
Ethernet is widely used in Local Area Networks (LANs) due to its simplicity and cost effectiveness. Today, a great deal of effort is being devoted to extending Ethernet capabilities in order to elevate it from a LAN technology to a ubiquitous networking technology, suitable for deployment in Metropolitan Area Networks (MANs) and even in core, Wide Area Networks (WANs). Current standardized Ethernet...
Quorums are a basic construct in solving many fundamental distributed computing problems. One of the known ways of making quorums scalable and efficient is by weakening their intersection guarantee to being probabilistic. This paper explores several access strategies for implementing probabilistic quorums in ad hoc networks. In particular, we present the first detailed study of asymmetric probabilistic...
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