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The planar cubic Cayley graphs

The author obtains 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. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The aut...

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Detalles Bibliográficos
Autor principal: Georgakopoulos, Agelos
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Acceso en línea:http://cds.cern.ch/record/2312822
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author Georgakopoulos, Agelos
author_facet Georgakopoulos, Agelos
author_sort Georgakopoulos, Agelos
collection CERN
description The author obtains 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. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The author's analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher American Mathematical Society
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spelling cern-23128222021-04-21T18:51:31Zhttp://cds.cern.ch/record/2312822engGeorgakopoulos, AgelosThe planar cubic Cayley graphsMathematical Physics and MathematicsThe author obtains 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. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The author's analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.American Mathematical Societyoai:cds.cern.ch:23128222018
spellingShingle Mathematical Physics and Mathematics
Georgakopoulos, Agelos
The planar cubic Cayley graphs
title The planar cubic Cayley graphs
title_full The planar cubic Cayley graphs
title_fullStr The planar cubic Cayley graphs
title_full_unstemmed The planar cubic Cayley graphs
title_short The planar cubic Cayley graphs
title_sort planar cubic cayley graphs
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2312822
work_keys_str_mv AT georgakopoulosagelos theplanarcubiccayleygraphs
AT georgakopoulosagelos planarcubiccayleygraphs