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We also prove lower bounds on the number of states in such trellises.
This is optimal, based on bounds on the number of such repetitions established in previous work.
We also give effective bounds on the number of points in these cases.
The bounds on the number of measurements are nearly optimal compared to the standard CS problem.
In Section 3, we obtain some upper bounds on the number of spanning trees.
In this paper, we obtain improved bounds on the number of group tests necessary for both adaptive and nonadaptive GTDs.
We also improve the known lower and upper bounds on the number of hyperedges in any friendship 3-hypergraph.
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The upper bound on the number of valid combinations is also plotted.
We prove that the proposed algorithm guarantees that each node receives the broadcasting packet with probability no less than p*, and analyze upper bound on the number of total retransmissions in the network.
The upper bound on the number of messages for cluster merging is equal to the average number of members per cluster, which is kTB, kWB and kPB for TB, WB and PB techniques respectively.
That is, there is an upper-bound on the number of departures at time (t+ k) based on the cumulative number of arrivals from the preceding days.
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