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arXiv · 2509.17782

Triangle-free quantum graphs

Nik Weaver
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Abstract

We introduce notions of being "triangle-free" and "strongly triangle-free" for operator systems in M_n(C) considered as quantum graphs. Several examples and non-examples are discussed. We provide a complete characterization of strongly triangle-free operator systems.

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Nik Weaver. 2025-09-22. Triangle-free quantum graphs. https://arxiv.org/abs/2509.17782

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