Explicit constructions show that isospectral graphons can arise from distinct geometries and are not combinatorially equivalent, with mixed implications for stability in graphon Kuramoto dynamics.
Szegedy,Limits of kernel operators and the spectral regularity lemma, European Journal of Combi- natorics32(2011), no
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Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives
Explicit constructions show that isospectral graphons can arise from distinct geometries and are not combinatorially equivalent, with mixed implications for stability in graphon Kuramoto dynamics.