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Arithmetic–geometric index and its relations with geometric–arithmetic index

Author

Listed:
  • Vujošević, Saša
  • Popivoda, Goran
  • Kovijanić Vukićević, Žana
  • Furtula, Boris
  • Škrekovski, Riste

Abstract

The arithmetic–geometric index (AG(G)) was recently introduced as a modification of the well-known geometric–arithmetic index (GA(G)). This paper reports results on searching for extremal AG-graphs for various classes of simple graphs. Additionally, relations between these two indices are elaborated. Results on combinations AG+GA,AG−GA,AG · GA, and AG/GA are given. The paper is concluded with four conjectures that have been derived based on computer investigations.

Suggested Citation

  • Vujošević, Saša & Popivoda, Goran & Kovijanić Vukićević, Žana & Furtula, Boris & Škrekovski, Riste, 2021. "Arithmetic–geometric index and its relations with geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320306597
    DOI: 10.1016/j.amc.2020.125706
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    References listed on IDEAS

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    1. V. S. Shigehalli & Rachanna Kanabur, 2016. "Computation of New Degree-Based Topological Indices of Graphene," Journal of Mathematics, Hindawi, vol. 2016, pages 1-6, September.
    2. Rodríguez, José M. & Sigarreta, José M., 2016. "Spectral properties of geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 142-153.
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