The degree sequence of a scale-free random graph process (Q2725033)

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scientific article; zbMATH DE number 1618602
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The degree sequence of a scale-free random graph process
scientific article; zbMATH DE number 1618602

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    The degree sequence of a scale-free random graph process (English)
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    13 May 2002
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    random digraph process
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    degree distribution
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    A graph process is specified such that vertices are added to a graph one at a time and joined to a fixed number \(m\) of earlier vertices, selected with probabilities proportional to their degrees. It is shown that the proportion of vertices having degree \(d\) is asymptotically given by \(m(m+1)/3\) divided by \({d+m+2)\choose 3}\).
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