Question: Network flow question. 3.4. Rank the following functions in increasing order of their growth rates for two cases: (1) when a network containing n nodes

Network flow question.

Network flow question. 3.4. Rank the following functions in increasing order of

3.4. Rank the following functions in increasing order of their growth rates for two cases: (1) when a network containing n nodes and m arcs is connected and very sparse [i.e., m = O(n)]; and (2) when the network is very dense [i.e., m = Q(n?)]. (a) n'm?, nm + n log n, nm log n, nm log(n2/m). (b) n2, m log n, m + n log n, m log log n. (c) n' log n, (m log n)(m + n log n), nm(log log n)log n

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