Triangle-free quantum graphs
Operator Algebras
2025-09-23 v1 Combinatorics
Rings and Algebras
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.
Cite
@article{arxiv.2509.17782,
title = {Triangle-free quantum graphs},
author = {Nik Weaver},
journal= {arXiv preprint arXiv:2509.17782},
year = {2025}
}
Comments
19 pages