Non-linear preferential attachment is a concept that extends the idea of preferential attachment in network theory. Preferential attachment is a mechanism often used to explain the formation and growth of complex networks, such as social networks, the World Wide Web, or citation networks. The basic principle of preferential attachment is that nodes (or vertices) in a network have a probability of attracting new connections proportional to their current degree (number of connections). This results in some nodes becoming "hubs" that accumulate many connections over time.
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