Let X be a locally finite, connected, growth if and only if X is a strip. infinite, transitive graph. We show that X has linear X(V, E) denotes a graph with vertex-set V(X) and edge-set E(X). Graphs considered in this paper contain neither loops nor mu!tiple edges, AUT(X) denotes the automorphism gr
A note on infinite transitive graphs
โ Scribed by Norbert Seifter
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 250 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
In [4] Jung and Watkins proved that for a connected infinite graph X either rยฎ(X) = oo holds or X is a strip, if Aut(X) contains a transitive abelian subgroup G. Here we prove the same result under weaker assumptions.
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