4 citations · 8 across the 3 of their papers we have counts for
3 papers
math.CO2012★ 4 cited
Pretty good state transfer on double stars
Xiaoxia Fan, Chris Godsil
Let A be the adjacency matrix of a graph and suppose U(t)=exp(itA). We view A as acting on $\cx^{V(X)}$ and take the standard basis of this space to be the vectors for $u…
math.CO2010★ 4 cited
Tricyclic graphs with exactly two main eigenvalues
Xiaoxia Fan, Yanfeng Luo
An eigenvalue of a graph is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this paper, all connected tricyclic graphs with…
math.CO2010
Spectral characterization of a specific class of trees
Xiaoxia Fan, Yanfeng Luo
In this paper, it is shown that the graph is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to…