170 citations · 827 across the 61 of their papers we have counts for
73 papers
A Note on Eigenvalues of Cayley Graphs
Arnbjörg Soffía Árnadóttir, Chris Godsil
A graph is called integral if all its eigenvalues are integers. A Cayley graph is called normal if its connection set is a union of conjugacy classes. We show that a non-empty inte…
Cospectral graphs obtained by edge deletion
Chris Godsil, Wanting Sun, Xiaohong Zhang
Let denote the Schur product of two matrices and . A graph with adjacency matrix is walk regular if is a constant times for each ,…
State Transfer in Complex Quantum Walks
Antonio Acuaviva, Ada Chan, Summer Eldridge +5
Given a graph with Hermitian adjacency matrix , perfect state transfer occurs from vertex to vertex if the -entry of the unitary matrix has unit magn…
Irrational quantum walks
Gabriel Coutinho, Pedro Ferreira Baptista, Chris Godsil +2
The adjacency matrix of a graph G is the Hamiltonian for a continuous-time quantum walk on the vertices of G. Although the entries of the adjacency matrix are integers, its eigenva…
Hamiltonians of Bipartite Walks
Qiuting Chen, Chris Godsil, Mariia Sobchuk +1
In this paper, we introduce a discrete quantum walk model called bipartite walks. Bipartite walks include many known discrete quantum walk models, like arc-reversal walks, vertex-f…
On state transfer in Cayley graphs for abelian groups
Arnbjörg Soffía Árnadóttir, Chris Godsil
In this paper, we characterize perfect state transfer in Cayley graphs for abelian groups that have a cyclic Sylow-2-subgroup. This generalizes a result of Bašić from 2013 where he…