• Title of article

    Atom-bond connectivity index of graph with two edges added

  • Author/Authors

    husin, mohamad nazri university malaysia terengganu - school of informatics and applied mathematics, Malaysia , hasni, roslan university malaysia terengganu - school of informatics and applied mathematics, Malaysia

  • From page
    81
  • To page
    86
  • Abstract
    The atom-bond connectivity index of a graph G, denoted as ABC(G), is defined as the sum of the weight √ du+dv-2dudv of all edges uv of G, where du (or dv) denotes the degree of vertex u (or v) in G. The ABC index provides a good model for the stability of linear and branches alkanes as well as the strain energy of cycloalkanes. In this note, we prove that ABC index of a graph increases when two new edges are added.
  • Keywords
    Atom , bond connectivity index , Graph
  • Journal title
    Matematika
  • Journal title
    Matematika
  • Record number

    2570219