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<p>We give new bounds for several vertex-based and edge-based topological indices of graphs including the Albertson irregularity index, the degree variance index, and the Mostar index. In addition, we give a new upper bound for the energy of graph using the IRB index. Most of our results rely on a well-known characterization of the Laplacian spectral radius.</p>

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On certain topological indices of graphs

  • 期刊论文

  • 发表日期：

    2026年6月18日

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  • Slobodan Filipovski,
  • Arber Avdullahu

摘要

We give new bounds for several vertex-based and edge-based topological indices of graphs including the Albertson irregularity index, the degree variance index, and the Mostar index. In addition, we give a new upper bound for the energy of graph using the IRB index. Most of our results rely on a well-known characterization of the Laplacian spectral radius.