5 papers · 1 filter
Fractional revival in complementary prisms of graphs
Sarojini Mohapatra, Hiranmoy Pal
The complementary prism of a graph is obtained from the disjoint union of and its complement by adding an edge between each vertex in …
Laplacian state transfer in graphs with involutions
Swornalata Ojha, Hermie Monterde, Hiranmoy Pal
For , the generalized Laplacian of a graph is the matrix , where is the degree matrix and is the adjacency matrix of $X…
Pretty good plus state transfer in cycles
Sarojini Mohapatra, Hiranmoy Pal
We investigate fractional revival in graphs with respect to the adjacency, Laplacian, and signless Laplacian matrices. We observe that, under certain conditions, fractional revival…
Quantum walks on finite and bounded infinite graphs
Chris Godsil, Steve Kirkland, Sarojini Mohapatra +2
A weighted graph with countable vertex set is bounded if there is an upper bound on the maximum of the sum of absolute values of all edge weights incident to a vertex in . I…
A Characterization of State Transfer on Double Subdivided Stars
Sarojini Mohapatra, Hiranmoy Pal
A subdivided star is obtained by identifying exactly one pendant vertex from copies of the path This study is on the existence of quantum state transfer on do…