On arithmetic-geometric index (GA) and edge GA index


Aytac V., Turaci T.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.8, ss.61-70, 2018 (Diğer Kurumların Hakemli Dergileri)

  • Cilt numarası: 8 Konu: 1
  • Basım Tarihi: 2018
  • Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Sayfa Sayısı: ss.61-70

Özet

Let G (V (G), E(G)) be a simple connected graph and d(G)(u) be the degree of the vertex u. Topological indices are numerical parameters of a graph which are invariant under graph isomorphisms. Recently, people are studying various topological measures such as the arithmetic-geometric index and the edge version of arithmetic geometric index of a graph G. Topological index based on the ratios of geometrical and arithmetical means of end vertex degrees of edges. In this paper, exact values for the arithmetic-geometric index and the edge version of arithmetic-geometric index of wheel related graphs namely gear, helm, sunflower and friendship graph are obtained.