Stability of the independence number of $G(n, r, 1)$ graphs

Fuente: arXiv
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Main Author: Koshelev, M.
Format: Preprint
Published: 2025
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author Koshelev, M.
author_facet Koshelev, M.
contents In this paper we obtain the stability theorem for the independence number of $G(n, r, 1)$ graphs. This result was previously stated in the paper of M. Pyaderkin but the proof there was incorrect. We introduce the correct proof of the key lemma and thus finally complete the proof of this theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18850
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stability of the independence number of $G(n, r, 1)$ graphs
Koshelev, M.
Combinatorics
In this paper we obtain the stability theorem for the independence number of $G(n, r, 1)$ graphs. This result was previously stated in the paper of M. Pyaderkin but the proof there was incorrect. We introduce the correct proof of the key lemma and thus finally complete the proof of this theorem.
title Stability of the independence number of $G(n, r, 1)$ graphs
topic Combinatorics
url https://arxiv.org/abs/2510.18850