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Sombor index and elliptic Sombor index of benzenoid systems

Author

Listed:
  • Rada, Juan
  • Rodríguez, José M.
  • Sigarreta, José M.

Abstract

Let G be a graph with vertex set V and edge set E. A topological index has the formTI(G)=∑uv∈Ef(du,dv), where f=f(x,y) is a pertinently chosen function which must be symmetric and real-valued for all x,y pertaining to vertex degrees of the graph G. Particularly interesting are the Sombor index SO and the elliptic Sombor index ESO, induced by the functions f(x,y)=x2+y2 and f(x,y)=(x+y)x2+y2, respectively. In this paper we analyze the ordering relations in benzenoid systems with respect to these two important topological indices. Also, we extend the results to general Sombor index SOα,β and general elliptic Sombor index ESOα.

Suggested Citation

  • Rada, Juan & Rodríguez, José M. & Sigarreta, José M., 2024. "Sombor index and elliptic Sombor index of benzenoid systems," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    • Handle: RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324002261
    DOI: 10.1016/j.amc.2024.128756
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    References listed on IDEAS

    as
    1. Cruz, Roberto & Gutman, Ivan & Rada, Juan, 2021. "Sombor index of chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Rada, Juan & Rodríguez, José M. & Sigarreta, José M., 2023. "On integral Sombor indices," Applied Mathematics and Computation, Elsevier, vol. 452(C).
    3. Chen, Meng & Zhu, Yan, 2024. "Extremal unicyclic graphs of Sombor index," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    Full references (including those not matched with items on IDEAS)

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