THE FIRST GEOMETRIC-ARITHMETIC INDEX OF GRAPH OPERATIONS


Hosamani S. M., Malghan S. H., CANGÜL İ. N.

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, vol.14, no.6, pp.155-163, 2015 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 6
  • Publication Date: 2015
  • Journal Name: ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.155-163
  • Bursa Uludag University Affiliated: Yes

Abstract

The first geometric-arithmetic (G-A) index of a graph G is defined as GA(1)(G) = Sigma u(,v is an element of E(G))2 root d(G)(u)d(G)(v)/d(G)(u)+d(G)(v), where d(G)(u) uGd is the degree of the vertex u. Expressions for the first AG. index are obtained for semitotal-line graph (middle graph), semitotal-point graph, total graph as well as eight kinds of total transformation graphs G(xyz).