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.
Kac,Can one hear the shape of a drum?, The American Mathematical Monthly73(1966), 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.