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math.PR2025
Direct Paths in the Temporal Hypercube
Austin Eide, Martijn Gösgens, Paweł Prałat
We consider the -dimensional random temporal hypercube, i.e., the -dimensional hypercube graph with its edges endowed with i.i.d. continuous random weights. We say that a ver…
math.PR2024
The Erdős-Rényi Random Graph Conditioned on Every Component Being a Clique
Martijn Gösgens, Lukas Lüchtrath, Elena Magnanini +2
Motivated by an application in community detection, we consider an \ER random graph conditioned on the rare event that all connected components are fully connected. Such graphs can…