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
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
