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Limit laws for the number of triangles in the generalized random graphs with random node weights

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  • Liu, Qun
  • Dong, Zhishan

Abstract

We investigate the asymptotic behavior for the number of triangles in a generalized random graph with random node weights, where edge probabilities between nodes are roughly proportional to the product of their node weights. When the number of nodes tends to infinity, we show that the asymptotic distribution of the triangle number converges to a Poisson distribution with parameter related to the first and second moments of node weights.

Suggested Citation

  • Liu, Qun & Dong, Zhishan, 2020. "Limit laws for the number of triangles in the generalized random graphs with random node weights," Statistics & Probability Letters, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:stapro:v:161:y:2020:i:c:s0167715220300365
    DOI: 10.1016/j.spl.2020.108733
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    Cited by:

    1. Bystrov, Alexander A. & Volodko, Nadezhda V., 2023. "Exponential inequalities for the number of subgraphs in the Erdös–Rényi random graph," Statistics & Probability Letters, Elsevier, vol. 195(C).

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