Integral Laplacian graphs with a unique double Laplacian eigenvalue, I

Abdul Hameed, Mikhail Tyaglov

The set $S_{i,n}=\{0,1,2,\dots ,n-1,n\}\setminus \{i\}$, $1⩽i⩽n$ is called Laplacian realizable if there exists an undirected simple graph whose Laplacian spectrum…