On the topological indices and graph operation

Shooshtari H., Sheikholeslami S. M., Cancan M.

Discrete Mathematics, Algorithms and Applications, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s1793830924500472
  • Dergi Adı: Discrete Mathematics, Algorithms and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: double corona of graphs, double join of graphs, hyper-Zagreb index, sigma index, The F -index
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

As we know that some chemically interesting graphs can be obtained by different graph operations on some general or particular graphs, it is important to study such graph operations in order to understand how it is related to the corresponding topological indices of the original graphs. In [A. Miličević, A. Nikolić and S. Trinajstić, On reformulated Zagreb indices, Mol. Divers. 8 (2004) 393-399], authors defined two new variants of Corona product and investigated some topological indices. In this paper, we extended the work and found the formulas of the F-index, hyper-Zagreb index, and Sigma index for double join of graphs based on the total graph and double corona of graphs based on the total graph. Moreover, some applications of the derived results are also discussed.