Quantum chromatic numbers of products of quantum graphs
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929469076275200 |
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| author | de Santiago, Rolando McNamara, A. Meenakshi |
| author_facet | de Santiago, Rolando McNamara, A. Meenakshi |
| contents | We define the Cartesian, Categorical, and Lexicographic, and Strong products of quantum graphs. We provide bounds on the quantum chromatic number of these products in terms of the quantum chromatic number of the factors. To adequately describe bounds on the lexicographic product of quantum graphs, we provide a notion of a quantum $b$-fold chromatic number for quantum graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum chromatic numbers of products of quantum graphs de Santiago, Rolando McNamara, A. Meenakshi Operator Algebras We define the Cartesian, Categorical, and Lexicographic, and Strong products of quantum graphs. We provide bounds on the quantum chromatic number of these products in terms of the quantum chromatic number of the factors. To adequately describe bounds on the lexicographic product of quantum graphs, we provide a notion of a quantum $b$-fold chromatic number for quantum graphs. |
| title | Quantum chromatic numbers of products of quantum graphs |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2408.11911 |