On Cospectral Graphons
Abstract
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.
Fields of Study & Subjects
Graph theory and applications
Publication details
- Journal / source
- The Electronic Journal of Combinatorics
- Volume
- 33
- Issue
- 1
- Publication date
- 9 January 2026
- Language
- EN