Abstract:We deal with a general preferential attachment graph model with multiple type edges. The types are chosen randomly, in a way that depends on the evolution of the graph. In the N -type case, we define the (generalized) degree of a given vertex as d = (d1, d2, . . . , dN ), where d k ∈ Z + 0 is the number of type k edges connected to it. We prove the existence of an a.s. asymptotic degree distribution for a general family of preferential attachment random graph models with multi-type edges. More precisely, we sh… Show more
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