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Invariant graphs of rational maps.

Authors :
Cui, Guizhen
Gao, Yan
Zeng, Jinsong
Source :
Advances in Mathematics. Aug2022:Part B, Vol. 404, pN.PAG-N.PAG. 1p.
Publication Year :
2022

Abstract

We prove that every postcritically finite rational map f : C ˆ → C ˆ admits an f n -invariant finite and connected graph containing the postcritical set of f as n is large enough. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*GRAPH connectivity
*FINITE, The

Details

Language :
English
ISSN :
00018708
Volume :
404
Database :
Academic Search Index
Journal :
Advances in Mathematics
Publication Type :
Academic Journal
Accession number :
157103999
Full Text :
https://doi.org/10.1016/j.aim.2022.108454