Quantum symmetry in multigraphs (part I)
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916134509346816 |
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| author | Goswami, Debashish Hossain, Sk Asfaq |
| author_facet | Goswami, Debashish Hossain, Sk Asfaq |
| contents | We introduce various notions of quantum symmetry in a directed or undirected multigraph with no isolated vertex and explore relations among them. If the multigraph is single edged (that is, a simple graph where loops are allowed), all our notions of quantum symmetry reduce to already existing notions of quantum symmetry provided by Bichon and Banica. Our constructions also show that any multigraph with at least two pairs of vertices with multiple edges among them possesses genuine quantum symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_08726 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum symmetry in multigraphs (part I) Goswami, Debashish Hossain, Sk Asfaq Quantum Algebra Operator Algebras Quantum Physics We introduce various notions of quantum symmetry in a directed or undirected multigraph with no isolated vertex and explore relations among them. If the multigraph is single edged (that is, a simple graph where loops are allowed), all our notions of quantum symmetry reduce to already existing notions of quantum symmetry provided by Bichon and Banica. Our constructions also show that any multigraph with at least two pairs of vertices with multiple edges among them possesses genuine quantum symmetry. |
| title | Quantum symmetry in multigraphs (part I) |
| topic | Quantum Algebra Operator Algebras Quantum Physics |
| url | https://arxiv.org/abs/2302.08726 |