Convergence of spectra of digraph limits
Abstract
The relation between densities of cycles and the spectrum of a graphon, which implies that the spectra of convergent graphons converge, fundamentally relies on the self-adjointness of the linear operator associated with a graphon. In this short paper, we consider the setting of digraphons, which are limits of directed graphs, and prove that the spectra of convergent digraphons converge. Using this result, we establish the relation between densities of directed cycles and the spectrum of a digraphon.
Fields of Study & Subjects
Limits and Structures in Graph Theory
Spectral Theory in Mathematical Physics
Graph theory and applications
Publication details
- Journal / source
- European Journal of Combinatorics
- Volume
- 134
- Pages
- 104349–104349
- Publication date
- 9 February 2026
- Language
- EN