2024/04/16 by Yu Miao, Miao, Yu, Yin Qing +1
Computer Science · Mathematics · #05C82 #60F05 #FOS: Mathematics #Graph theory and applications #Neural Networks and Applications #Probability (math.PR) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2404.10802
openalex publication_date 2024/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Complex networks play a crucial role in understanding physical, biological, social and technological systems. One of the most relevant features of graphs representing real systems is community structure. In this paper, for a specific partition of a given network, we prove the Cramer's moderate deviations of modularity for the partition when the size of the network gets large.