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A natural requirement of a resource allocation system is to guarantee fairness to its participants. Fair allocation can be achieved either by distributed protocols known as cake-cutting algorithms or by centralized approaches, which first collect the agents' preferences and then decide on the allocation. Compared with cake-cutting algorithms, centralized approaches ageless restricted and can therefore...
We consider the problem of reconstructing an n-sequence, given the multiplicities with which k-sequences occur as subsequences. We improve the lower bound on k from Ω(logn) to exp(Ω(log 1/2 n)).
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