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- W2952242105 abstract "In this paper we study a random graph with N nodes, where node j has degree Dj and {Dj} are i.i.d. with ℙ(Dj ≤ x) = F(x). We assume that 1 − F(x) ≤ cx−τ+1 for some τ > 3 and some constant c > 0. This graph model is a variant of the so-called configuration model, and includes heavy tail degrees with finite variance. The minimal number of edges between two arbitrary connected nodes, also known as the graph distance or the hopcount, is investigated when N → ∞. We prove that the graph distance grows like logν N" @default.
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- W2952242105 date "2005-01-01" @default.
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- W2952242105 title "Distances in random graphs with finite variance degrees" @default.
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- W2952242105 doi "https://doi.org/10.1002/rsa.20063" @default.
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