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Hypergraph associated with Lie algebra of upper triangular matrices | ||
| Journal of Algebra and Related Topics | ||
| دوره 10، شماره 2، اسفند 2022، صفحه 145-159 اصل مقاله (378.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2022.18572.1246 | ||
| نویسندگان | ||
| S. Sridharan1؛ S. Venkatraman* 2 | ||
| 1Discrete Mathematics Laboratory, Department of Mathematics Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, India. | ||
| 2Discrete Mathematics Laboratory, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University Kumbakonam, India. | ||
| چکیده | ||
| For an associated combinatorial structure with Lie algebra $\mathbf{g}_n$ of upper triangular matrices, an allowable, forbidden, and the graphs that are not associated with $\mathbf{g}_n$ of any three vertices are determined. This work also introduces a neoteric association of hypergraph with Lie algebra of upper triangular matrix $\mathcal{G}_n$ for an element of Lie algebra $\mathbf{g}_n$. The properties of this structure are analyzed, characterized and have been presented as an algorithm for finite order. | ||
| کلیدواژه‌ها | ||
| Lie Algebra؛ well oriented؛ hypergraph؛ upper triangular matrix | ||
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آمار تعداد مشاهده مقاله: 594 تعداد دریافت فایل اصل مقاله: 338 |
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