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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

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Official URL: https://doi.org/10.1090/memo/1190

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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
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:
DateEvent
September 2017Published
17 February 2017Available
Volume: 250
Number: 1190
DOI: 10.1090/memo/1190
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Related URLs:
  • http://www.worldcat.org/oclc/1001548887
Open Access Version:
  • ArXiv

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