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Sridharan, S., Venkatraman, S.. (1401). Hypergraph associated with Lie algebra of upper triangular matrices. فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), 145-159. doi: 10.22124/jart.2022.18572.1246
S. Sridharan; S. Venkatraman. "Hypergraph associated with Lie algebra of upper triangular matrices". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 2, 1401, 145-159. doi: 10.22124/jart.2022.18572.1246
Sridharan, S., Venkatraman, S.. (1401). 'Hypergraph associated with Lie algebra of upper triangular matrices', فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), pp. 145-159. doi: 10.22124/jart.2022.18572.1246
Sridharan, S., Venkatraman, S.. Hypergraph associated with Lie algebra of upper triangular matrices. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(2): 145-159. doi: 10.22124/jart.2022.18572.1246

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
مراجع
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