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Two-Point Concentration of the Independence Number of the Random Graph

We show that the independence number of $ G_{n,p}$ is concentrated on two values if $ n^{-2/3+ \epsilon } < p \le 1$ . This result is roughly best possible as an argument of Sah and Sawhney shows that the independence number is not, in general, concentrated on two values for $ p = o...

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書誌詳細
主要な著者: Tom Bohman, Jakob Hofstad
フォーマット: Artigo
言語:Inglês
出版事項: Cambridge University Press 2024-01-01
シリーズ:Forum of Mathematics, Sigma
主題:
オンライン・アクセス:https://www.cambridge.org/core/product/identifier/S2050509424000069/type/journal_article
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