Consider a Barabási-Albert network with parameter m=2. A node was introduced at time . At a later time , this node has degree . What is the expected average clustering coefficient of the network at time ?
Let G be an undirected, unweighted network without self-loops and with N nodes. For a given node i , let N i denote the number of neighbors of i . Which of the following expressions correctly represents the denominator of the clustering coefficient for node i , given that the nominator L i represents the actual number of connections between the N i neighbors? ( N i (N i − 1) ) / 2 N i 2 ( N i (N i + 1) ) / 2 N i (N i − 1) None of the above Original idea by: Yan Prada.
Consider a complex network subject to random failures and targeted attacks. Which of the following statements best characterizes network robustness ? a) Scale-free networks are equally robust against both random failures and targeted attacks due to their heavy-tailed degree distribution. b) Random networks (Erdős–Rényi type) typically remain connected longer under random attacks than scale-free networks with the same average degree. c) The robustness of a network is maximized when the degree distribution follows a power law with exponent close to 5. d) In scale-free networks, robustness to random node removal arises because most nodes have low degree, while vulnerability to targeted attacks results from dependence on high-degree hubs. e) None of the above.
Boa questão. Fico com ela. Mudei um pouco.
ResponderExcluir