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• W3100856865 abstract "We investigate a variety of statistical properties associated with the number of distinct degrees that exist in a typical network for various classes of networks. For a single realization of a network with N nodes that is drawn from an ensemble in which the number of nodes of degree k has an algebraic tail, N_k ~ N/k^nu for k>>1, the number of distinct degrees grows as N^{1/nu}. Such an algebraic growth is also observed in scientific citation data. We also determine the N dependence of statistical quantities associated with the sparse, large-k range of the degree distribution, such as the location of the first hole (where N_k=0), the last doublet (two consecutive occupied degrees), triplet, dimer (N_k=2), trimer, etc." @default.
• W3100856865 created "2020-11-23" @default.
• W3100856865 creator A5011256345 @default.
• W3100856865 creator A5032602392 @default.
• W3100856865 date "2013-06-06" @default.
• W3100856865 modified "2023-10-16" @default.
• W3100856865 title "Distinct degrees and their distribution in complex networks" @default.
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• W3100856865 doi "https://doi.org/10.1088/1742-5468/2013/06/p06002" @default.
• W3100856865 hasPublicationYear "2013" @default.
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