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.
Throm,Continuum limit for interacting systems on adaptive networks, 2023, arXiv preprint arXiv: 2308.15433
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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.