ZAGREB ECCENTRICITY INDICES OF CYCLES RELATED GRAPHS


TURACI T.

ARS COMBINATORIA, cilt.125, ss.247-256, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 125
  • Basım Tarihi: 2016
  • Dergi Adı: ARS COMBINATORIA
  • Sayfa Sayıları: ss.247-256

Özet

Graph theory, with its diverse applications in theoretical computer science and in natural (Chemistry, Biology) in particular is becoming an important component of the mathematics. Recently, the concepts of new zagreb eccentricity indices were introduced. These indices were defined for any graph G, as follows: M-1*(G) = Sigma(euv is an element of E(G))[epsilon(G)(u) + epsilon(G)(v)] (G) = M-1**(G) = Sigma(v is an element of V)[epsilon(G)(v)](2) and M-2*(G) = Sigma(euv is an element of E(G))[epsilon(G)(u) epsilon(G)(v)], where epsilon(G)(u) is eccentricity value of vertex u in the graph G. In this paper, new zagreb eccentricity indices M-1*(G), M-1**(G) and M-2*(G) of cycles related graphs namely gear, friendship and corona graphs are determined. Then, a programming code finding values of new zagreb indices of any graph is offered.