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breadth-first walk 1functional central limit theorem 1giant component 1random graphs 1supercritical regime 1

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math.PR2026

A novel approach to the giant component fluctuations

Josué Corujo, Sophie Lemaire, Vlada Limic

The paper presents a new method based on the simultaneous breadth‑first walk to study the size fluctuations of the giant component in Erdős–Rényi random graph processes, proving fu…