MO412-Yan

 In simple scale-free networks generated by the configuration model, a conflict may arise between the scale-free degree distribution and the absence of multi-links or self-loops. This leads to the concept of the structural cutoff , which determines whether high-degree nodes can connect freely without violating the simple-network constraint. Which of the following statements correctly describes the consequences of this structural cutoff on degree correlations? a)  When the largest node degree in the network remains below the structural cutoff, the network can preserve its scale-free property, maintaining the network with a neutral structure. b)  If the largest node degree exceeds the structural cutoff, the network cannot realize the expected number of hub–hub connections, leading to an apparent disassortative pattern known as structural disassortativity . c)  In networks where all nodes have degrees smaller than the structural cutoff, a neutral structure emerges...

Consider a Barabási-Albert network with parameter m = 2. A node  i  was introduced at time t i = 4 . At a later time t , this node has degree k i ( t ) = 100 . What is the expected average clustering coefficient ⟨ C ⟩  of the network at time t ? a) ⟨ C ⟩ ≈ 0.025 b) ⟨ C ⟩ ≈ 0.030 c) ⟨ C ⟩ ≈ 0.010 d) ⟨ C ⟩ ≈ 0.008 e) None of the above Original idea by: Yan Prada.