Date Thesis Awarded
Honors Thesis -- Open Access
Bachelors of Science (BS)
A graph has quantum symmetry if the algebra associated with its quantum automorphism group is non-commutative. We study what quantum symmetry means and outline one specific method for determining whether a graph has quantum symmetry, a method that involves studying planar algebras and manipulating planar tangles. Modifying a previously used method, we prove that the 5-cycle has no quantum symmetry by showing it has the generating property.
Pisharody, Akshata, "Determining Quantum Symmetry in Graphs Using Planar Algebras" (2021). Undergraduate Honors Theses. William & Mary. Paper 1635.