Hypergraph associated with Lie algebra of upper triangular matrices

Document Type : Research Paper

Authors

1 Discrete Mathematics Laboratory, Department of Mathematics Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, India.

2 Discrete Mathematics Laboratory, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University Kumbakonam, India.

Abstract

For an associated combinatorial structure with Lie algebra gn of upper triangular matrices, an allowable, forbidden, and the graphs that are not associated with gn of any three vertices are determined. This work also introduces a neoteric association of hypergraph with Lie algebra of upper triangular matrix Gn for an element of Lie algebra gn. The properties of this structure are analyzed, characterized and have been presented as an algorithm for finite order.

Keywords

References

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Journal of Algebra and Related Topics
Volume 10, Issue 2
December 2022
Pages 145-159

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