Author/Authors :
ميمارك, يوتسانان Chulalongkorn University - Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, 10330, Thailand , سريوانگسا, سونگپون Chulalongkorn University - Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, 10330, Thailand
Abstract :
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.
Keywords :
Local rings , Perfect state transfer , Unitary Cayley graphs ,
