Exercise:
Suppose you are analyzing a "scale-free" network that follows the Barabási-Albert model. This model generates networks where new nodes tend to preferentially connect to nodes that already have many connections, creating a hub structure.
Question:
In a "scale-free" network, which of the following statements best describes the degree distribution and its impact on the network's structure?
Options:
a) All nodes in the network have approximately the same number of connections, leading to a normal degree distribution.
b) Nodes with few connections are the most influential in the network, due to the low centralization of hubs.
c) The degree distribution follows a power law, meaning most nodes have few connections, while a few nodes have a very high number of connections.
d) Preferential attachment ensures that each new node connects to a random node, regardless of how many connections that node already has.
We haven't seen the Barabasi-Albert theory yet. Also, we prefer quantitative questions rather than qualitative ones.
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