Details

The Quantum Automorphism Group and Undirected Trees

by Fulton, Melanie B.

Abstract (Summary)
A classification of all undirected trees with automorphism group isomorphic to $(Z_2)^l$ is given in terms of a vertex partition called a refined star partition. Recently the notion of a quantum automorphism group has been defined by T. Banica and J. Bichon. The quantum automorphism group is similar to the classical automorphism group, but has relaxed commutivity. The classification of all undirected trees with automorphism group isomorphic to $(Z_2)^l$ along with a similar classification of all undirected asymmetric trees is used to give some insight into the structure of the quantum automorphism group for such graphs.
Bibliographical Information:

Advisor:Peter Linnell; Peter Haskell; Daniel Farkas; Gail Letzter

School:Virginia Polytechnic Institute and State University

School Location:USA - Virginia

Source Type:Master's Thesis

Keywords:mathematics

ISBN:

Date of Publication:08/14/2006

© 2009 OpenThesis.org. All Rights Reserved.