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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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:	Date Event September 2017 Published 17 February 2017 Available
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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