2024/11/20 by Jan Hladký, Hladký, Jan, Daniel Iľkovič +5
Mathematics · #Graph theory and applications
paper · pdf · doi:10.37236/13768
In this short note, we study the notion of cospectral graphons, paralleling the notion of cospectral graphs. As in the graph case, we give three equivalent definitions: by equality of spectra, by equality of cycle densities, and by a unitary transformation. We also give an example of two cospectral graphons that cannot be approximated by two sequences of cospectral graphs in the cut distance.