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Saturday, October 4, 2025

2025-269

Consider a Barabási-Albert network with parameter \(m = 2\). A node was introduced at time \(t_i = 4\)>. At a later time, this node has degree \(k_i(t) = 100\). What is the expected average clustering coefficient \(\langle C \rangle\) of the network at time \(t\)?

  1. \(\langle C \rangle \approx 0.030\)
  2. \(\langle C \rangle \approx 0.025\)
  3. \(\langle C \rangle \approx 0.010\)
  4. \(\langle C \rangle \approx 0.008\)
  5. None of the above


Original idea by: Yan Prada.

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2025-271

Consider a network generated using the Barabasi-Albert model, whose sequence of node addition is A,B,C,D,E. Consider m=2 and that new nodes ...