The radius, diameter and chromatic number of some zero divisor graph | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3891-3896 اصل مقاله (1.08 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6189 | ||
| نویسندگان | ||
| Hayder F. Ghazi* ؛ Ahmed Omran | ||
| Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, Iraq | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Zero divisor graph؛ Radius؛ Diameter؛ Chromatic number | ||
| مراجع | ||
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