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
On cores of distance-regular graphs
Annemarie Geertsema, Chris Godsil, Krystal Guo
We look at the question of which distance-regular graphs are core-complete, meaning they are isomorphic to their own core or have a complete core. We build on Roberson's homomorphi…
quant-ph2025
Perfect state transfer between real pure states
Chris Godsil, Stephen Kirkland, Hermie Monterde
Pure states correspond to one-dimensional subspaces of represented by unit vectors. In this paper, we develop the theory of perfect state transfer (PST) between real…