Threshold graphs are characterized by sharing a common integer Laplacian eigenbasis across all graphs of the same order, and this note supplies a new proof of the characterization.
Rosa, On certain valuations of the vertices of a graph,Theory of Graphs (Internat
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A Note on the Laplacian Eigenvectors of Threshold Graphs
Threshold graphs are characterized by sharing a common integer Laplacian eigenbasis across all graphs of the same order, and this note supplies a new proof of the characterization.