Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584408 | Journal of Algebra | 2015 | 31 Pages |
Abstract
We study the automorphism group of graphons (graph limits). We prove that after an appropriate “standardization” of the graphon, the automorphism group is compact. Furthermore, we characterize the orbits of the automorphism group on k-tuples of points. Among applications we study the graph algebras defined by finite rank graphons and the space of node-transitive graphons.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
László Lovász, Balázs Szegedy,