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math.PR2026
Asymptotic normality for triangle counting in the sparse -model
Siang Zhang, Qunqiang Feng, Zhishui Hu
We study the number of triangles in the sparse -model on vertices, a random graph model that captures degree heterogeneity in real-world networks. Using the norms of t…
math.PR2023★ 2 cited
Average Jaccard Index of Random Graphs
Qunqiang Feng, Shuai Guo, Zhishui Hu
The asymptotic behavior of the Jaccard index in , the classical Erdös-Rényi random graphs model, is studied in this paper, as goes to infinity. We first derive the asym…
math.PR2016★ 2 cited
Limit theorems for number of edges in the generalized random graphs with random vertex weights
Zhi Shui Hu, Vladimir V. Ulyanov, Qun Qiang Feng
We get central limit type theorems for the total number of edges in the generalized random graphs with random vertex weights under different moment conditions on distributions of t…