@article {
author = {Ghazi, Hayder and Omran, Ahmed},
title = {The radius, diameter and chromatic number of some zero divisor graph},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {13},
number = {1},
pages = {3891-3896},
year = {2022},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2022.6189},
abstract = {In 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.},
keywords = {Zero divisor graph,Radius,Diameter,Chromatic number},
url = {https://ijnaa.semnan.ac.ir/article_6189.html},
eprint = {https://ijnaa.semnan.ac.ir/article_6189_9f8c554e63ca01b1787da4d27b404b34.pdf}
}