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arXiv · 2610.00144

Probability threshold for the stability of $α(G(n,r,s))$

M. M. Koshelev·A. M. Raigorodskii
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Abstract

Let $G(n,r,s)$ be a graph $(V,E)$ such that $V = \binom{[n]}{r}$ and $E = \{(u, v)| |u \cap v| = s\}. $In this paper we study the probability threshold for the exact stability of the independence number of $G(n, r, s)$ where $r > 2s+2$. We improve the previous result of Pyaderkin that implied asymptotic stability of the independence number.

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M. M. Koshelev, A. M. Raigorodskii. 2026-09-10. Probability threshold for the stability of $α(G(n,r,s))$. https://arxiv.org/abs/2610.00144

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