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arXiv · 2411.13229

On cospectral graphons

Jan Hladký·Daniel Iľkovič·Jared León·Xichao Shu
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Abstract

In this short note, we introduce 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.

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Jan Hladký, Daniel Iľkovič, Jared León, Xichao Shu. 2024-11-20. On cospectral graphons. https://doi.org/10.37236/13768

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