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<p>In this paper, the elliptic Sombor index is studied and new upper and lower bounds for it are established. These bounds involve terms related to the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10910_2025_1757_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-Sombor index, the symmetric division deg index, the Gutman–Milovanović index, the general sum-connectivity index, and the hyperbolicity constant. Also, physicochemical properties of polyaromatic hydrocarbons using the elliptic Sombor index are modeled.</p>

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Bounds for the elliptic sombor index and applications

  • 期刊论文

  • 发表日期：

    2025年10月16日

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  • Ana Granados,
  • Edil D. Molina,
  • Yamilet Quintana,
  • Eva Tourís

摘要

In this paper, the elliptic Sombor index is studied and new upper and lower bounds for it are established. These bounds involve terms related to the \(\alpha \) -Sombor index, the symmetric division deg index, the Gutman–Milovanović index, the general sum-connectivity index, and the hyperbolicity constant. Also, physicochemical properties of polyaromatic hydrocarbons using the elliptic Sombor index are modeled.