Computing the Zagreb eccentricity indices of thorny graphs

BERBERLER Z. N.

UTILITAS MATHEMATICA, cilt.113, ss.209-217, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 113
  • Basım Tarihi: 2019
  • Dergi Adı: UTILITAS MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.209-217
  • Anahtar Kelimeler: Zagreb index, Zagreb eccentricity index, Eccentricity, Thorny graph, NUMBER
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.