5 papers
Compact graphs and quantum automorphisms
Pedro Baptista, Gabriel Coutinho, Chris Godsil +1
Compact graphs are graphs for which the fractional automorphism polytope has no genuinely fractional vertices. This paper proposes a quantum analogue of this idea by evaluating the…
Total Conformal Rigidity in Graphs
Henrique Assumpção, Gabriel Coutinho, Chris Godsil
We introduce and study a generalization of conformal rigidity for graphs. A graph is -conformally rigid if the uniform edge weights simultaneously maximize the sum of the sm…
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…
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…
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…