Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge

S. M. Grudsky, E. A. Maximenko, A. Soto-González

We study the individual behavior of the eigenvalues of the laplacian matrices of the cyclic graph of order $n$, where one edge has weight $\alpha \in \mathbb{C}$, with $\operatorname{Re}(…