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Zagreb Root-Indices of Graphs with Chemical Applications

Author

Listed:
  • Niko Tratnik

    (Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia
    Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia)

  • Petra Žigert Pleteršek

    (Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia
    Faculty of Chemistry and Chemical Engineering, University of Maribor, Smetanova 17, 2000 Maribor, Slovenia)

Abstract

Root-indices of graphs are mathematical tools that help us to understand complex systems, like molecules and networks, by capturing key structural information. In this study, we introduce two new root-indices, the first and the second Zagreb root-index, and we analyze their properties. We apply these indices to chemical structures like benzenoid molecules and octane isomers, showing that they sometimes provide better insights than traditional indices. We also compare the effectiveness of several root-indices with their standard versions, highlighting their ability to distinguish between different graph structures.

Suggested Citation

  • Niko Tratnik & Petra Žigert Pleteršek, 2024. "Zagreb Root-Indices of Graphs with Chemical Applications," Mathematics, MDPI, vol. 12(23), pages 1-13, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3871-:d:1539934
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    References listed on IDEAS

    as
    1. Brezovnik, Simon & Dehmer, Matthias & Tratnik, Niko & Žigert Pleteršek, Petra, 2023. "Szeged and Mostar root-indices of graphs," Applied Mathematics and Computation, Elsevier, vol. 442(C).
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