Non-existence of co-spectral simple connected graphs with small number of edges
O. Boyko, D. Kaliuzhnyi-Verbovetskyi, V. Pivovarchik·2025-08-28·via math.CO updates on arXiv.org
We prove that if the number of edges does not exceed 7 then the asymptotics of eigenvalues of the Dirichlet problem uniquely determine the shape of the graph.