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math.ST2025
Graph Quasirandomness for Hypothesis Testing of Stochastic Block Models
Kiril Bangachev, Guy Bresler
The celebrated theorem of Chung, Graham, and Wilson on quasirandom graphs implies that if the 4-cycle and edge counts in a graph are both close to their typical number in $\mat…
math.ST2024
On The Fourier Coefficients of High-Dimensional Random Geometric Graphs
Kiril Bangachev, Guy Bresler
The random geometric graph is formed by sampling i.i.d. vectors uniformly on and placing an edge be…
math.ST2023
Detection of Geometry in Random Geometric Graphs: Suboptimality of Triangles and Cluster Expansion
Kiril Bangachev, Guy Bresler
In this paper we study the random geometric graph with distance where each vertex is sampled uniformly from the -dimen…