ON ARITHMETIC-GEOMETRIC INDEX (GA) AND EDGE GA INDEX


AYTAÇ V. , TURACI T.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.8, ss.61-70, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 8 Konu: 1
  • Basım Tarihi: 2018
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Sayfa Sayıları: 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.