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math.PR2020
Normal Approximation and Fourth Moment Theorems for Monochromatic Triangles
Bhaswar B. Bhattacharya, Xiao Fang, Han Yan
Given a graph sequence denote by the number of monochromatic triangles in a uniformly random coloring of the vertices of with color…
math.PR2020
Spectral Edge in Sparse Random Graphs: Upper and Lower Tail Large Deviations
Bhaswar B. Bhattacharya, Sohom Bhattacharya, Shirshendu Ganguly
In this paper we consider the problem of estimating the joint upper and lower tail large deviations of the edge eigenvalues of an Erdős-Rényi random graph , in t…