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We prove that the generalized Randić index over graphs following the Erdős-Rényi model, for both the sparse and dense regimes, is concentrated around its mean when the number of vertices tends to infinity.

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Limit Theorems for Randić Index for Erdős-Rényi Graphs

  • 会议论文

  • 发表日期：

    2025年

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  • Laura Eslava,
  • Saylé Sigarreta,
  • Arno Siri-Jégousse

摘要

We prove that the generalized Randić index over graphs following the Erdős-Rényi model, for both the sparse and dense regimes, is concentrated around its mean when the number of vertices tends to infinity.