Xiaoxia Fan

most citedTricyclic graphs with exactly two main eigenvalues

4 citations · 8 across the 3 of their papers we have counts for

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math.CO2012★ 4 cited

Pretty good state transfer on double stars

Xiaoxia Fan, Chris Godsil

Let A be the adjacency matrix of a graph $X$ 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 $e_{u}$ for $u…

math.CO2010★ 4 cited

Tricyclic graphs with exactly two main eigenvalues

Xiaoxia Fan, Yanfeng Luo

An eigenvalue of a graph $G$ 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 $T_{4} (p, q, r)$ is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to…