4 papers
math.CO2026
Laplacian Pair State Transfer on Total Graphs
Akash Kalita, Bikash Bhattacharjya
The total graph of a graph , denoted , is defined as the graph whose vertex set is the union of the vertex set of and the edge set of , such that two vert…
math.CO2025
State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs
Akash Kalita, Bikash Bhattacharjya
The unitary Cayley graph, denoted , is the graph with vertex set such that two distinct vertices and are adjacent if for some with $1 \leq…
math.CO2025
Pretty good fractional revival on abelian Cayley graphs
Akash Kalita, Bikash Bhattacharjya
Let be a graph with the adjacency matrix . The transition matrix of , denoted , is defined as , where and …
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…