Quantum symmetry in multigraphs (part I)
Quantum Algebra
2024-02-26 v4 Operator Algebras
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2302.08726,
title = {Quantum symmetry in multigraphs (part I)},
author = {Debashish Goswami and Sk Asfaq Hossain},
journal= {arXiv preprint arXiv:2302.08726},
year = {2024}
}
Comments
This is the final version of our work on quantum symmetry in multigraphs. Any comments or suggestions will be appreciated