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Transitive distance-regular graphs from linear groups $L(3,q)$, $q = 2,3,4,5$ | ||
| Transactions on Combinatorics | ||
| مقاله 24، دوره 9، شماره 1، خرداد 2020، صفحه 49-60 اصل مقاله (254.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2020.116255.1630 | ||
| نویسنده | ||
Andrea Svob 
| ||
| Department of Mathematics, University of Rijeka, Croatia | ||
| چکیده | ||
| In this paper we classify distance-regular graphs, including strongly regular graphs, admitting a transitive action of the linear groups $L(3,2)$, $L(3,3)$, $L(3,4)$ and $L(3,5)$ for which the rank of the permutation representation is at most 15. We give details about constructed graphs. In addition, we construct self-orthogonal codes from distance-regular graphs obtained in this paper. | ||
| کلیدواژه‌ها | ||
| strongly regular graph؛ distance-regular graph؛ linear group؛ self-orthogonal code | ||
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آمار تعداد مشاهده مقاله: 108 تعداد دریافت فایل اصل مقاله: 148 |
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