Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220301The radius, diameter and chromatic number of some zero divisor graph38913896618910.22075/ijnaa.2022.6189ENHayder F.GhaziDepartment of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, IraqAhmed OmranDepartment of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, IraqJournal Article20210707In this work, the radius, diameter and a chromatic number of zero divisor graph of the ring $Z_n$ for some n are been determined. These graphs are ${\Gamma }\left(Z_{p^2q^2}\right)$, ${\Gamma }\left(Z_{p^2}\right)$, ${\Gamma}\left(Z_{pq}\right)$, ${\Gamma }\left(Z_{p^3}\right)$, ${\Gamma }\left(Z_{p^2q}\right)$ and ${\Gamma }\left(Z_{pqr}\right)$. Furthermore, the largest induced subgraph isomorphic to complete subgraph in the graph ${\Gamma }\left(Z_{p^3}\right)$ and $\mathit{\Gamma}(p^2q)$ are calculated.https://ijnaa.semnan.ac.ir/article_6189_9f8c554e63ca01b1787da4d27b404b34.pdf