On computing the irregularity of R-corona product types of graphs

BERBERLER Z. N.

Utilitas Mathematica, cilt.112, ss.53-68, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112
  • Basım Tarihi: 2019
  • Dergi Adı: Utilitas Mathematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.53-68
  • Anahtar Kelimeler: Edge imbalance, Graph irregularity, R -edge neighborhood corona, R -vertex neighborhood corona, R- edge corona, R-graph, R-vertex corona
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

© 2019 Utilitas Mathematica Publishing Inc.. All rights reserved.The imbalance of an edge uv in a graph G is defined as \d(u)- d(v)|, where d(u) denotes the degree of u. The irregularity of G, denoted irr(G), is the sum of the edge imbalances taken over all edges in G. In this paper, we focus our investigation to the study of how the irregularity of a graph changes with operations based on R -graphs. Furthermore, we find exact formulae for the irregularity of a class of composite graphs, namely, R -corona products.