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Characterising planar Cayley graphs and Cayley complexes in terms of group presentations.
- Source :
-
European Journal of Combinatorics . Feb2014, Vol. 36, p282-293. 12p. - Publication Year :
- 2014
-
Abstract
- Abstract: We prove that a Cayley graph can be embedded in the Euclidean plane without accumulation points of vertices if and only if it is the 1-skeleton of a Cayley complex that can be embedded in the plane after removing redundant simplices. We also give a characterisation of these Cayley graphs in term of group presentations, and deduce that they can be effectively enumerated. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01956698
- Volume :
- 36
- Database :
- Academic Search Index
- Journal :
- European Journal of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 92592046
- Full Text :
- https://doi.org/10.1016/j.ejc.2013.07.014