The authors give necessary and sufficient conditions for perfect state transfer to occur in Grover walks on all Cayley graphs of dihedral groups, proving it never happens for normal graphs with odd n.
Periodicities of Grover walks on distance-regular graphs.Graphs Combin., 35(6):1305–1321, 2019
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Perfect state transfer in Grover walks on dihedral Cayley graphs
The authors give necessary and sufficient conditions for perfect state transfer to occur in Grover walks on all Cayley graphs of dihedral groups, proving it never happens for normal graphs with odd n.