• Title of article

    The radius, diameter and chromatic number of some zero divisor graph

  • Author/Authors

    Ghazi, Hayder F. Department of Mathematics - College of Education for Pure Science - University of Babylon, Babylon, Iraq , Omran, Ahmed Department of Mathematics - College of Education for Pure Science - University of Babylon, Babylon, Iraq

  • Pages
    6
  • From page
    3891
  • To page
    3896
  • Abstract
    In this work, the radius, diameter and a chromatic number of zero divisor graph of the ring Zn for some n are been determined. These graphs are Γ(Zp2q2), Γ(Zp2), Γ(Zpq), Γ(Zp3), Γ(Zp2q) and Γ(Zpqr). Furthermore, the largest induced subgraph isomorphic to complete subgraph in the graph Γ(Zp3) and Γ(p2q) are calculated.
  • Keywords
    Zero divisor graph , Radius , Diameter , Chromatic number
  • Journal title
    International Journal of Nonlinear Analysis and Applications
  • Serial Year
    2022
  • Record number

    2714465