Perfect state transfer in unitary Cayley graphs over local rings

In this work, using eigenvalues and eigenvectors of unitary Cayley graphs over finite local rings and elementary linear algebra, we characterize which local rings allowing PST occurring in its unitary Cayley graph. Moreover, we have some developments when $R$ is a product of local rings.

Bibliographic Details
Main Authors: Yotsanan Meemark, Songpon Sriwongsa
Format: Article
Language:English
Published: University of Isfahan 2014-12-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/pdf_5974_ee7986b6514f7db7db00ebf91f7de927.html