On the First Zagreb Index of Neighborhood Corona Graphs

OdabaS Z. N., BERBERLER M. E.

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, no.12, pp.2585-2587, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Doi Number: 10.1166/jctn.2014.3676
  • Journal Name: JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2585-2587
  • Keywords: First Zagreb Index, Neighborhood Corona Graphs, Splitting Graph, GEOMETRIC-ARITHMETIC INDEX, CONNECTIVITY INDEXES, INFINITE FAMILY, DENDRIMER
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.