REAL

The automorphism group of a graphon

Lovász, László and Szegedy, Balázs (2015) The automorphism group of a graphon. JOURNAL OF ALGEBRA, 421. pp. 136-166. ISSN 0021-8693

[img]
Preview
Text
szegedy.pdf

Download (279kB) | Preview

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 nodetransitive graphons. (C) 2014 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: LEMMA; LIMITS; Node-transitive; SPECTRUM; GRAPHON; GRAPH; automorphism group
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 15 Feb 2016 21:55
Last Modified: 15 Feb 2016 21:55
URI: http://real.mtak.hu/id/eprint/33547

Actions (login required)

Edit Item Edit Item