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On the number of connected components of divisibility graph for certain simple groups | ||
| Transactions on Combinatorics | ||
| مقاله 4، دوره 5، شماره 2، شهریور 2016، صفحه 33-40 اصل مقاله (234.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2016.8595 | ||
| نویسندگان | ||
| Adeleh Abdolghafourian؛ Mohammad Ali Iranmanesh* | ||
| Yazd University | ||
| چکیده | ||
| The divisibility graph $\mathscr{D}(G)$ for a finite group $G$ is a graph with vertex set $cs(G)\setminus\{1\}$ where $cs(G)$ is the set of conjugacy class sizes of $G$. Two vertices $a$ and $b$ are adjacent whenever $a$ divides $b$ or $b$ divides $a$. In this paper we will find the number of connected components of $\mathscr{D}(G)$ where $G$ is a simple Zassenhaus group or an sporadic simple group. | ||
| کلیدواژهها | ||
| Divisibility graph؛ connected component؛ Simple groups | ||
| مراجع | ||
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