Computing the Zagreb eccentricity indices of thorny graphs

BERBERLER Z. N.

UTILITAS MATHEMATICA, vol.113, pp.209-217, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 113
  • Publication Date: 2019
  • Journal Name: UTILITAS MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.209-217
  • Keywords: Zagreb index, Zagreb eccentricity index, Eccentricity, Thorny graph
  • Dokuz Eylül University Affiliated: Yes

Abstract

The first and second Zagreb eccentricity indices are defined respectively in terms of the vertex eccentricities as E-1(G) = Sigma(v is an element of V)((G)) epsilon(V)(2) and E-2(G) = Sigma(uv is an element of E(G)) epsilon(U)epsilon(V), where epsilon(U) denotes the eccentricity of the vertex U. In this paper, Zagreb eccentricity indices of a class of composite graphs, namely, thorny graphs are investigated. Explicit formulas for Zagreb eccentricity indices of these types of graphs are presented.