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Imprimitivity of locally finite, 1-ended, planar graphs

Širáň, Jozef and Watkins, Mark E. (2012). Imprimitivity of locally finite, 1-ended, planar graphs. Ars Mathematica Contemporanea, 5(2) pp. 217–221.

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Abstract

Using results from group theory, we offer a concise proof of the imprimitivity of locally finite, vertex-transitive, 1-ended planar graphs, a result previously established by J .E. Graver and M. E.Watkins (2004) using graph-theoretical methods.

Item Type: Journal Article
Copyright Holders: 2012 DMFA Slovenije
ISSN: 1855-3974
Keywords: planar graph; end; primitive permutation group; residually finite group; co-compact group
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 34909
Depositing User: Jozef Širáň
Date Deposited: 31 Oct 2012 10:07
Last Modified: 30 Nov 2012 10:40
URI: http://oro.open.ac.uk/id/eprint/34909
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