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.
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Meemark, Y. and Sriwongsa, S. (2014). Perfect state transfer in unitary Cayley graphs over local rings. Transactions on Combinatorics, 3(4), 43-54. doi: 10.22108/toc.2014.5974
MLA
Meemark, Y. , and Sriwongsa, S. . "Perfect state transfer in unitary Cayley graphs over local rings", Transactions on Combinatorics, 3, 4, 2014, 43-54. doi: 10.22108/toc.2014.5974
HARVARD
Meemark, Y., Sriwongsa, S. (2014). 'Perfect state transfer in unitary Cayley graphs over local rings', Transactions on Combinatorics, 3(4), pp. 43-54. doi: 10.22108/toc.2014.5974
CHICAGO
Y. Meemark and S. Sriwongsa, "Perfect state transfer in unitary Cayley graphs over local rings," Transactions on Combinatorics, 3 4 (2014): 43-54, doi: 10.22108/toc.2014.5974
VANCOUVER
Meemark, Y., Sriwongsa, S. Perfect state transfer in unitary Cayley graphs over local rings. Transactions on Combinatorics, 2014; 3(4): 43-54. doi: 10.22108/toc.2014.5974