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Constructions of Bounded-depth Superconcentrators
Domes, Tomáš ; Koucký, Michal (advisor) ; Šámal, Robert (referee)
In the thesis, we summarize known results regarding different types of expanders, upper and lower bounds on their sizes, and their explicit constructions. From the expanders, we construct bounded-depth superconcentrators of optimal size for every depth, and we show some explicit bounded-depth superconcentrator constructions from the explicit expanders. Apart from few minor generalizations, we do not bring any new results, but we present several known bounded-depth superconcentrator constructions in one place together with all the tools needed for the constructions. As far as we know, no such survey has existed before.

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