Quantum symmetry in multigraphs (part I)

• URL: http://arxiv.org/abs/2302.08726v4
• Date: Thu, 22 Feb 2024 20:24:00 GMT
• Title: Quantum symmetry in multigraphs (part I)
• Abstract summary: We introduce various notions of quantum symmetry in a directed or undirected multigraph. If the multigraph is single edged, all our notions of quantum symmetry reduce to already existing notions provided by Bichon and Banica.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce various notions of quantum symmetry in a directed or undirected multigraph with no isolated vertex and explore relations among them. If the multigraph is single edged (that is, a simple graph where loops are allowed), all our notions of quantum symmetry reduce to already existing notions of quantum symmetry provided by Bichon and Banica. Our constructions also show that any multigraph with at least two pairs of vertices with multiple edges among them possesses genuine quantum symmetry.

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