Date Thesis Awarded
5-2021
Access Type
Honors Thesis -- Open Access
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Pierre Clare
Committee Members
Pierre Clare
Eric Swartz
Gregory Conradi-Smith
Abstract
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.
Recommended Citation
Pisharody, Akshata, "Determining Quantum Symmetry in Graphs Using Planar Algebras" (2021). Undergraduate Honors Theses. William & Mary. Paper 1635.
https://scholarworks.wm.edu/honorstheses/1635
Included in
Algebra Commons, Analysis Commons, Geometry and Topology Commons, Other Mathematics Commons
