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math.CO2022
Geometric multiplicity of unitary non-backtracking eigenvalues
Leo Torres
We completely characterize the conditions under which a complex unitary number is an eigenvalue of the non-backtracking matrix of an undirected graph. Further, we provide a closed…
math.SP2022★ 9 cited
Spectral theory of the non-backtracking Laplacian for graphs
Jürgen Jost, Raffaella Mulas, Leo Torres
We introduce a non-backtracking Laplace operator for graphs and we investigate its spectral properties. With the use of both theoretical and computational techniques, we show that…