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math.CO2019
Trees with a large Laplacian eigenvalue multiplicity
S. Akbari, E. R. van Dam, M. H. Fakharan
In this paper, we study the multiplicity of the Laplacian eigenvalues of trees. It is known that for trees, integer Laplacian eigenvalues larger than are simple and also the mu…
math.CO2019
The negative tetrahedron and the first infinite family of connected digraphs that are strongly determined by the Hermitian spectrum
Pepijn Wissing, Edwin R. van Dam
Thus far, digraphs that are uniquely determined by their Hermitian spectra have proven elusive. Instead, researchers have turned to spectral determination of classes of switching e…