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arXiv · 2408.11911

Quantum chromatic numbers of products of quantum graphs

Rolando de Santiago·A. Meenakshi McNamara
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Abstract

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.

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Rolando de Santiago, A. Meenakshi McNamara. 2024-08-21. Quantum chromatic numbers of products of quantum graphs. https://arxiv.org/abs/2408.11911

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