Geometric arithmetic and mostar indices of P-2n +(F) Pn+1

Cancan M., Naeem M., Aslam A., Gao W., Baig A. Q.

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, cilt.41, sa.4, ss.1007-1024, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/02522667.2020.1745382
  • Dergi Adı: JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1007-1024
  • Anahtar Kelimeler: Geometric-arithmetic index, Graph operations, Mostar index, Subdivision of graph, Total graph, BOND CONNECTIVITY INDEX, TOPOLOGICAL INDEXES, ZAGREB INDEXES, GRAPHS, VERTEX
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Let G = (V, E) be a simple connected graph, where V(G) and E(G) represent the vertex set and edge set of G respectively. The vertex set V(G) associates with the atoms and the edge set E(G) associates with the bonds of the atoms in a chemical graph. For a connected graph G, the second geometric-arithmetic index GA(v)(G) index is denoted as GA(1)(G) = Sigma(e=uv is an element of E(G)) 2 root d(u)xd(v)/d(u)+d(v), and the Mostar M-o(G) index of a graph G is formulated by GA(v)(G) = Sigma(e=uv is an element of E(G)) 2 root n(u)(e)xn(v)(e)/n(u)(e)+n(v)(e), where n(u)(e) is the number of vertices which are closer to the vertex u than to vertex v of e and n(v)(e) is the number of vertices which are closer to vertex v than to the vertex u of e. The aim of this paper is to calculate and compare the geometric-arithmetic GA(v)(G) index and Mostar M-o(G) index of P-2n+P-F(n+1).