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

2025/10/21 by M.M. Koshelev, М.А. Koshelev, Koshelev, M.
Mathematics · Computer Science · #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.18850

Abstract

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.

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