Extremal Euler Sombor Index of Unicyclic Graphs with Fixed Diameter

Kizilirmak G. O.

Match, cilt.94, sa.3, ss.725-738, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 94 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.46793/match94-3.09025
  • Dergi Adı: Match
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.725-738
  • Gazi Üniversitesi Adresli: Evet

Özet

Topological indices are numerical descriptors of graphs that are widely used in fields such as mathematical chemistry, network theory, and structural analysis. Among the recently introduced degree-based indices, the Euler Sombor index has gained significant attention due to its applicability. The Euler Sombor index is defined as: (Formula presented) where dG(x) denotes the degree of vertex x in the graph G, and the sum is taken over all edges of G. In this study, we focus on the minimum value of the Euler Sombor index for the class of unicyclic graphs with a fixed diameter d ≥ 2.