On the First Zagreb Index of Neighborhood Corona Graphs

OdabaS Z. N., BERBERLER M. E.

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, sa.12, ss.2585-2587, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1166/jctn.2014.3676
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2585-2587
  • Anahtar Kelimeler: First Zagreb Index, Neighborhood Corona Graphs, Splitting Graph, GEOMETRIC-ARITHMETIC INDEX, CONNECTIVITY INDEXES, INFINITE FAMILY, DENDRIMER
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The first Zagreb index is defined as the sum of squares of the degrees of vertices in a graph. The neighborhood corona, G*H, of two graphs is defined as the graph obtained by taking one copy of G and vertical bar V (G)vertical bar copies of H and for each i, making all vertices in the ith copy of H adjacent with the neighbors of v(i), i = 1, 2, ... , vertical bar V (G)vertical bar. In this paper, the first Zagreb index of neighborhood corona graphs is computed, and exact formulas are derived.