170 citations · 827 across the 61 of their papers we have counts for
4 papers · 1 filter
Quantum Networks on Cubelike Graphs
Anna Bernasconi, Chris Godsil, Simone Severini
Cubelike graphs are the Cayley graphs of the elementary abelian group (Z_2)^n (e.g., the hypercube is a cubelike graph). We give conditions for perfect state transfer between two p…
Cores of Geometric Graphs
Chris Godsil, Gordon F. Royle
Cameron and Kazanidis have recently shown that rank-3 graphs are either cores or have complete cores, and they asked whether this holds for all strongly regular graphs. We prove th…
Distinguishing Primitive Permutation Groups
Chris Godsil
Let be a permutation group acting on a set . A partition of is distinguishing if the only element of that fixes each cell of is the identity. The distinguish…
Periodic Graphs
Chris Godsil
Let be a graph on vertices with with adjacency matrix and let denote the matrix-valued function . If and are distinct vertices in , we say…