Date Thesis Awarded
Honors Thesis -- Open Access
Bachelors of Science (BS)
Robert Michael Lewis
We introduce the theory of quantum symmetry of a graph by starting with quantum permutation groups and classical automorphism groups. We study graphs with and without quantum symmetry to provide a comprehensive view of current techniques used to determine whether a graph has quantum symmetry. Methods provided include specific tools to show commutativity of generators of algebras of quantum automorphism groups of distance-transitive graphs; a theorem that describes why nontrivial, disjoint automorphisms in the automorphism group implies quantum symmetry; and a planar algebra approach to studying symmetry.
Phillips, Samantha, "A Survey of Methods to Determine Quantum Symmetry of Graphs" (2021). Undergraduate Honors Theses. Paper 1721.
Available for download on Tuesday, June 01, 2021