Given the adjacency matrix, how to calculate laplacian spectrum

122 Views Asked by At

I'm trying to calculate a laplacian spectrum of an adjacency matrix. I tried to look online/youtube but couldn't really find anything. I've added a couple of sample matrices here: Sample adjacency matricies

For matrix A, I calculated the eigenvalues to be:

E = {2.377,-2.247,-1.651,-.555,0,1.274,.802}

but after this step, I'm not too sure what to do. Correct me if I'm wrong, but from my understanding, I multiply A*E to get the spectrum, resulting in:

{.802, -.849,-.973, 2.076, 0.130, -2.206, -0.425}

Any help is appreciated! Thanks!