Triangle-free quantum graphs

Fuente: arXiv
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Main Author: Weaver, Nik
Format: Preprint
Published: 2025
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author Weaver, Nik
author_facet Weaver, Nik
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_17782
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Triangle-free quantum graphs
Weaver, Nik
Operator Algebras
Combinatorics
Rings and Algebras
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.
title Triangle-free quantum graphs
topic Operator Algebras
Combinatorics
Rings and Algebras
url https://arxiv.org/abs/2509.17782