Abstract
In this paper, we consider the degree distribution of a general random graph with multiple edges and loops from the perspective of probability. Based on the first-passage probability of Markov chains, we give a new and rigorous proof to the existence of the network degree distribution and obtain the precise expression of the degree distribution. The analytical results are in good agreement with numerical simulations.
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Supported by National Natural Science Foundation of China (Grant Nos. 10671212, 90820302)
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Tan, L., Hou, Z.T. & Liu, X.R. Degree distribution of a scale-free random graph model. Acta. Math. Sin.-English Ser. 28, 587–598 (2012). https://doi.org/10.1007/s10114-012-9365-2
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DOI: https://doi.org/10.1007/s10114-012-9365-2