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Abstract A new network evolution model is introduced in this paper. The model is based on cooperations of N units. The units are the nodes of the network and the… Click to show full abstract
Abstract A new network evolution model is introduced in this paper. The model is based on cooperations of N units. The units are the nodes of the network and the cooperations are indicated by directed links. At each evolution step N units cooperate, which formally means that they form a directed N-star subgraph. At each step either a new unit joins the network and it cooperates with N − 1 old units, or N old units cooperate. During the evolution both preferential attachment and uniform choice are applied. Asymptotic power law distributions are obtained both for in-degrees and for out-degrees.
Journal Title: Journal of Applied Probability
Year Published: 2019
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