3 papers
math.CO2025
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…
math.CO2025
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,…
math.NA2025
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…