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Initial attractiveness : ウィキペディア英語版 | Initial attractiveness
The initial attractiveness is a possible extension of the Barabási–Albert model (preferential attachment model). The Barabási–Albert model generates scale-free networks where the degree distribution can be described by a pure power law. However, the degree distribution of most real life networks cannot be described by a power law solely. The most common discrepancies regarding the degree distribution found in real networks are the high degree cut-off (or structural cut-off) and the low degree cut-off. The inclusion of initial attractiveness in the Barabási–Albert model addresses the low-degree cut-off phenomenon. == Definition ==
The Barabási–Albert model defines the following linear preferential attachment rule: . This would imply that the probability that a new node will attach to a node that has a zero degree is zero – . The preferential attachment function of the Barabási–Albert model can be modified as follows: . The constant denotes the initial attractiveness of the node. From this the preferential attachment rule with initial attractiveness comes as: : Based on this attachment rule it can be inferred that: . This means that even isolated nodes with have a chance to obtain connections with the newly arriving nodes.
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