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math.PR2025
Asymptotic Normality of Subgraph Counts in Sparse Inhomogeneous Random Graphs
Sayak Chatterjee, Anirban Chatterjee, Abhinav Chakraborty +1
In this paper, we derive the asymptotic distribution of the number of copies of a fixed graph in a random graph sampled from a sparse graphon model. Specifically, we prov…
math.PR2025
Multiplexons: Limits of Multiplex Networks
Ankan Ganguly, Bhaswar B. Bhattacharya
In a multiplex network, a set of nodes is connected by different types of interactions, each represented as a separate layer within the network. Multiplexes have emerged as a key i…
math.PR2025
Monochromatic Subgraphs in Randomly Colored Dense Multiplex Networks
Mauricio Daros Andrade, Bhaswar B. Bhattacharya
Given a sequence of graphs and a fixed graph , denote by the number of monochromatic copies of the graph in a uniformly random -coloring of the vertices…