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On a preferential attachment and generalized Pólya’s urn model

On a preferential attachment and generalized Pólya’s urn model

We study a general preferential attachment and Polya's urn model. At each step a new vertex is introduced, which can be connected to at most one existing vertex. If it is disconnected, it becomes a pioneer vertex. Given that it is not disconnected, it joins an existing pioneer vertex with …