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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2verdicts
UNVERDICTED 2representative citing papers
Characterizes periodicity and perfect state transfer for Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings under modular conditions on local ring factors.
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.
-
State transfer in Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings
Characterizes periodicity and perfect state transfer for Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings under modular conditions on local ring factors.