Limit theorems for number of edges in the generalized random graphs with random vertex weights
Zhi Shui Hu, Vladimir V. Ulyanov, Qun Qiang Feng
TL;DR
This paper establishes central limit theorems for the total number of edges in generalized random graphs with random vertex weights, under various moment conditions on the weight distributions.
Contribution
It provides new limit theorems for edge counts in generalized random graphs considering different weight distribution moments.
Findings
Central limit theorems derived for edge counts
Results depend on moment conditions of vertex weights
Applicable to various weight distribution scenarios
Abstract
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 the weights.
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