量子图积的量子色度数

arXiv - MATH - Operator Algebras Pub Date : 2024-08-21 DOI:arxiv-2408.11911

Rolando de Santiago, A. Meenakshi McNamara

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引用次数: 0

摘要

我们定义了量子图的笛卡尔积、分类积、词典积和强积。我们根据因子的量子色度数提供了这些积的量子色度数的边界。为了充分描述量子图的词典积的边界，我们提供了量子图的量子b$折色度数。

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Quantum chromatic numbers of products of quantum graphs

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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arXiv - MATH - Operator Algebras

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