10 citations · 11 across the 5 of their papers we have counts for
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Trivalent vertex-transitive graphs with infinite vertex-stabilizers
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller
We study groups acting vertex-transitively on connected, trivalent graphs such that stabilizers of vertices are infinite. If the action is edge-transitive, we prove that the graph…
Infinite arc-transitive and highly-arc-transitive digraphs
Rögnvaldur G. Möller, Primož Potočnik, Norbert Seifter
A detailed description of the structure of two-ended arc-transitive digraphs is given. It is also shown that several sets of conditions, involving such concepts as Property Z, loca…
Sharply -arc-transitive-digraphs: finite and infinite examples
Rögnvaldur G. Möller, Primož Potočnik, Norbert Seifter
A general method for constructing sharply -arc-transitive digraphs, i.e. digraphs that are -arc-transitive but not -arc-transitive, is presented. Using our method it i…