AbstractLet X be a connected locally finite transitive graph with polynomial growth. We prove that groups with intermediate growth cannot act transitively on X. Furthermore, it follows from this result that the automorphism group AUT(X) is uncountable if and only if it contains a finitely generated subgroup with exponential growth which acts transitively on X. If X has valency at least three, we prove that X cannot be 8-transitive
AbstractLetΓbe a graph with almost transitive group Aut(Γ) and quadratic growth. We show that Aut(Γ)...
In [6] it was shown that properties of digraphs such as growth, property Z, and num-ber of ends are ...
AbstractLetΓbe a graph with almost transitive group Aut(Γ) and quadratic growth. We show that Aut(Γ)...
AbstractLet X be a connected locally finite transitive graph with polynomial growth. We prove that g...
AbstractIn the first part of this paper we consider nilpotent groups G acting with finitely many orb...
AbstractIn this paper we give an overview on connected locally finite transitive graphs with polynom...
AbstractIn the first part of this paper we consider nilpotent groups G acting with finitely many orb...
AbstractLet X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then th...
Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exis...
AbstractLet X be a locally finite, connected, infinite, transitive graph. We show that X has linear ...
AbstractLet X be a locally finite, connected, infinite, transitive graph. We show that X has linear ...
AbstractWe show how results concerning infinite, locally finite, vertex-symmetric graphs can be rela...
AbstractWe prove that a locally finite inaccessible graph with a transitive automorphism group alway...
AbstractLet G be a nilpotent group acting transitively on a locally finite, connected graph X with κ...
AbstractThis paper deals with graphs the automorphism groups of which are transitive on vertices and...
AbstractLetΓbe a graph with almost transitive group Aut(Γ) and quadratic growth. We show that Aut(Γ)...
In [6] it was shown that properties of digraphs such as growth, property Z, and num-ber of ends are ...
AbstractLetΓbe a graph with almost transitive group Aut(Γ) and quadratic growth. We show that Aut(Γ)...
AbstractLet X be a connected locally finite transitive graph with polynomial growth. We prove that g...
AbstractIn the first part of this paper we consider nilpotent groups G acting with finitely many orb...
AbstractIn this paper we give an overview on connected locally finite transitive graphs with polynom...
AbstractIn the first part of this paper we consider nilpotent groups G acting with finitely many orb...
AbstractLet X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then th...
Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exis...
AbstractLet X be a locally finite, connected, infinite, transitive graph. We show that X has linear ...
AbstractLet X be a locally finite, connected, infinite, transitive graph. We show that X has linear ...
AbstractWe show how results concerning infinite, locally finite, vertex-symmetric graphs can be rela...
AbstractWe prove that a locally finite inaccessible graph with a transitive automorphism group alway...
AbstractLet G be a nilpotent group acting transitively on a locally finite, connected graph X with κ...
AbstractThis paper deals with graphs the automorphism groups of which are transitive on vertices and...
AbstractLetΓbe a graph with almost transitive group Aut(Γ) and quadratic growth. We show that Aut(Γ)...
In [6] it was shown that properties of digraphs such as growth, property Z, and num-ber of ends are ...
AbstractLetΓbe a graph with almost transitive group Aut(Γ) and quadratic growth. We show that Aut(Γ)...
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