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math.CO2024★ 1 cited
Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs
Koushik Bhakta, Bikash Bhattacharjya
The quadratic unitary Cayley graph has vertex set , where two vertices and are adjacent if and only if $u…
quant-ph2024
Perfect state transfer on Cayley graphs over a non-abelian group of order
Akash Kalita, Bikash Bhattacharjya
The \textit{transition matrix} of a graph with adjacency matrix is defined by , where and . The graph…
math.CO2024
Grover walks on unitary Cayley graphs and integral regular graphs
Koushik Bhakta, Bikash Bhattacharjya
The unitary Cayley graph has vertex set $\{0,1, \hdots ,n-1\}$, where two vertices and are adjacent if . In this paper, we study periodicity and perfect…