Bikash Bhattacharjya

collaborators

3 papers

quant-ph2024

Perfect state transfer on Cayley graphs over a non-abelian group of order $8 n$

Akash Kalita, Bikash Bhattacharjya

The \textit{transition matrix} of a graph $Γ$ with adjacency matrix $A$ is defined by $H (τ) := exp (- i τ A)$ , where $τ \in R$ and $i = - 1$ . 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 $u$ and $v$ are adjacent if $g cd (u - v, n) = 1$ . In this paper, we study periodicity and perfect…

math.CO2021

HS-integral and Eisenstein integral mixed Cayley graphs over abelian groups

Monu Kadyan, Bikash Bhattacharjya

A mixed graph is called \emph{second kind hermitian integral}(or \emph{HS-integral}) if the eigenvalues of its Hermitian-adjacency matrix of second kind are integers. A mixed graph…

Perfect state transfer on Cayley graphs over a non-abelian group of order 8n

Grover walks on unitary Cayley graphs and integral regular graphs

HS-integral and Eisenstein integral mixed Cayley graphs over abelian groups

Perfect state transfer on Cayley graphs over a non-abelian group of order $8 n$