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The disc structures of A4-graph for particular untwisted groups | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 47، دوره 13، شماره 2، مهر 2022، صفحه 527-533 اصل مقاله (380.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6478 | ||
| نویسندگان | ||
| Mohammed Mukheef Abed1؛ Amani E. Kadhm* 2؛ Rasha A. Ali3؛ Zainab Hasan Msheree4 | ||
| 1Technical Instructors Training Institute, Middle Technical University, Baghdad, Iraq | ||
| 2Technical Engineering College, Middle Technical University, Baghdad, Iraq | ||
| 3College of Physical Education and Sports Science, University of Baghdad, Baghdad, Iraq | ||
| 4Middle Technical University, Technical Instructors Training Institute, Iraq | ||
| تاریخ دریافت: 26 دی 1400، تاریخ بازنگری: 09 اسفند 1400، تاریخ پذیرش: 10 فروردین 1401 | ||
| چکیده | ||
| Let $t$ be an elements of order 3 in a finite simple group $\mathrm{G}$. Let $\mathrm{X}=t^{\mathrm{G}}$ be a conjugacy class of $t$ in $\mathrm{G}$. The A4-graph, represented as $A_{4}(\mathrm{G}, \mathrm{X})$, is a simple graph has $\mathrm{X}$ as a vertex set and two vertices $x, y \in \mathrm{X}$, joined by edge whenever $\mathrm{x} \neq \mathrm{y}$ and $x y^{-1}=y x^{-1}$. In this paper, we investigate the discs structure and determine the clique number, girth and diameter of $A_{4}(\mathrm{G}, \mathrm{X})$ when $\mathrm{G}$ is isomorphic to one of the untwisted groups $\mathrm{G}_{2}(2)^{\prime}, \mathrm{G}_{2}(3)$ or $\mathrm{G}_{2}(4)$. | ||
| کلیدواژه‌ها | ||
| Finite simple groups؛ A4-graph؛ connectivity, cliques | ||
| مراجع | ||
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