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The planar cubic Cayley graphs
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Georgakopoulos, Agelos (2017) The planar cubic Cayley graphs. Memoirs of the American Mathematical Society, 250 (1190). doi:10.1090/memo/1190 ISSN 0065-9266.
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Official URL: https://doi.org/10.1090/memo/1190
Abstract
We obtain a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising several infinite families. We obtain counterexamples to conjectures of Mohar, Bonnington and Watkins. Our analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Series Name: | Memoirs of the American Mathematical Society | ||||||
Journal or Publication Title: | Memoirs of the American Mathematical Society | ||||||
Publisher: | American Mathematical Society | ||||||
Place of Publication: | Providence, Rhode Island | ||||||
ISBN: | 9781470426446 | ||||||
ISSN: | 0065-9266 | ||||||
Official Date: | September 2017 | ||||||
Dates: |
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Volume: | 250 | ||||||
Number: | 1190 | ||||||
DOI: | 10.1090/memo/1190 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 9 June 2016 | ||||||
Date of first compliant Open Access: | 3 February 2021 | ||||||
Related URLs: | |||||||
Open Access Version: |
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