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Rigidity of the strongly separating curve graph
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Bowditch, B. H. (2016) Rigidity of the strongly separating curve graph. Michigan Mathematical Journal, 65 (4). pp. 813-832. doi:10.1307/mmj/1480734021 ISSN 0026-2285.
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Official URL: http://dx.doi.org/10.1307/mmj/1480734021
Abstract
We define the strongly separating curve graph to be the full subgraph of the curve graph of a compact orientable surface, where the vertex set consists of all separating curves which do not bound a three-holed sphere. We show that, for all but finitely many surfaces, any automorphism of the strongly separating curve graph is induced by an element of the mapping class group.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Graph theory | ||||||
Journal or Publication Title: | Michigan Mathematical Journal | ||||||
Publisher: | University of Michigan Department fo Mathematics | ||||||
ISSN: | 0026-2285 | ||||||
Official Date: | 3 December 2016 | ||||||
Dates: |
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Volume: | 65 | ||||||
Number: | 4 | ||||||
Page Range: | pp. 813-832 | ||||||
DOI: | 10.1307/mmj/1480734021 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 3 May 2016 | ||||||
Date of first compliant Open Access: | 8 December 2016 | ||||||
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