Uncountable families of vertex-transitive graphs of finite degree

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Uncountable families of vertex-transitive graphs of finite degree

Recently the following question was relayed [1] to the second author: What is the cardinality of the set of vertex transitive graphs of finite degree? Our aim in this short note is to show that there are 20 such graphs. Our proof is constructive and is based on ideas of B. Neumann [3]. In order to construct a large such set it is natural to turn to Cayley graphs of finitely generated groups (se...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2006

ISSN: 0012-365X

DOI: 10.1016/j.disc.2006.01.021