Triangle-free quantum graphs

Published 22 Sep 2025 in math.OA, math.CO, and math.RA | (2509.17782v1)

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

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