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