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Displaying 301 –
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In this paper, we propose a method which enables to construct almost optimal broadcast schemes on an -dimensional hypercube in the circuit switched, -port model. In this model, an initiator must inform all the nodes of the network in a sequence of rounds. During a round, vertices communicate along arc-disjoint dipaths. Our construction is based on particular sequences of nested binary codes having the property that each code can inform the next one in a single round. This last property is insured...
The irrigation problem is the problem of finding an efficient way to transport a measure μ+
onto a measure μ-. By efficient, we mean that a structure
that achieves the transport (which, following [Bernot, Caselles and Morel, Publ. Mat.49 (2005) 417–451], we call traffic plan)
is better if it carries the mass in a grouped way rather than in a separate way.
This is formalized by considering costs functionals that favorize this property.
The aim of this paper is to introduce a dynamical cost functional...
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