Computation of Degree Based Indices of Basava Star
Windmill Graph

B. Basavanagoud; Mahammadsadiq Sayyed

doi:https://doi.org/10.14445/22315373/IJMTT-V68I1P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 1 | Year 2022 | Article Id. IJMTT-V68I1P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I1P509

Computation of Degree Based Indices of Basava Star Windmill Graph

B. Basavanagoud, Mahammadsadiq Sayyed

Abstract

In this paper, we have proposed new windmill graph, that is Basava star windmill graph. The Basava star windmill graph 𝐵𝑛+2(𝑚)is the graph obtained by taking 𝑚 ≥ 2 copies of the graph 𝐾1 + 𝐾1,𝑛 for 𝑛 ≥ 1 with a vertex 𝐾1 in common. Further-more, we have proposed the general Sombor index of graph 𝐺. Inspired by recent work on degree-based topological indices, we have obtained first and second Zagreb index, F-index, first and second hyper-Zagreb index, harmonic index, Randi𝑐′ index, general Randi𝑐′ index, sum connectivity index, general sum connectivity index, atom-bond connectivity index, geometric-arithmetic index, arithmetic-geometric index, Symmetric division deg index, 𝑆𝐾 indices, general 𝑆𝐾𝛼(𝐺) index, general 𝑆𝐾1𝛼(𝐺) index, Sombor index and general Sombor index of Basava star windmill graph.

Keywords

ABC index, hyper-Zagreb index, Randi𝒄′ connectivity index, SK indices and Sombor indices, sum-connectivity index, Zagreb index, Windmill graph.

References

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Citation :

B. Basavanagoud, Mahammadsadiq Sayyed, "Computation of Degree Based Indices of Basava Star Windmill Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 1, pp. 77-85, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I1P509