9 citations · 10 across the 5 of their papers we have counts for
5 papers
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…
Laplacian quantum walks on blow-up graphs
Hermie Monterde, Hiranmoy Pal, Steve Kirkland
This paper is a sequel to the work of Bhattacharjya et al.\ (J. Phys. A-Math. 57.33: 335303, https://doi.org/10.1088/1751-8121/ad6653) on quantum state transfer on blow-up graphs,…
Cut-edge centralities in an undirected graph
Dario Bini, Steve Kirkland, Guy Latouche +1
A centrality measure of the cut-edges of an undirected graph, given in [Altafini et al.~SIMAX 2023] and based on Kemeny's constant, is revisited. A numerically more stable expressi…
Quantum walks on join graphs
Steve Kirkland, Hermie Monterde
The join of two graphs and is the graph obtained by joining each vertex of to each vertex of . We explore the behaviour of a continuous quantum walk on a w…
Quantum state transfer between twins in weighted graphs
Stephen Kirkland, Hermie Monterde, Sarah Plosker
Twin vertices in simple unweighted graphs are vertices that have the same neighbours and, in the case of weighted graphs with possible loops, the corresponding incident edges have…