Article
Set-independence graphs of vector spaces and partial quasigroups
Author/s | Falcón Ganfornina, Raúl Manuel
![]() ![]() ![]() ![]() ![]() ![]() ![]() Gopinath, S. Kalaimurugan, G. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2023-09-04 |
Deposit Date | 2024-02-26 |
Published in |
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Abstract | As a generalization of independence graphs of vector spaces and groups, we introduce the notions of set-independence graphs of vector spaces and partial quasigroups. The former are characterized for finite-dimensional ... As a generalization of independence graphs of vector spaces and groups, we introduce the notions of set-independence graphs of vector spaces and partial quasigroups. The former are characterized for finite-dimensional vector spaces over finite fields. Further, we prove that every finite simple graph is isomorphic to either the independence graph of a partial quasigroup or an induced subgraph of the latter. We also prove that isomorphic partial quasigroups give rise to isomorphic set-independence graphs. As an illustrative example, all finite graphs of order $n\leq 5$ are identified with the independence graph of a partial quasigroup of the same order. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-016
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Citation | Falcón Ganfornina, R.M., Gopinath, S. y Kalaimurugan, G. (2023). Set-independence graphs of vector spaces and partial quasigroups. Journal of Algebra Combinatorics Discrete Structures and Applications, 10 (3), 161-173. |
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