2 citations · 2 across the 5 of their papers we have counts for
7 papers
Edge-transitive cubic graphs: Cataloguing and Enumeration
Marston Conder, Primož Potočnik
This paper deals with finite cubic (-regular) graphs whose automorphism group acts transitively on the edges of the graph. Such graphs split into two broad classes, namely arc-t…
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…
Lifting a prescribed group of automorphisms of graphs
Pablo Spiga, Primož Potočnik
In this paper we are interested in lifting a prescribed group of automorphisms of a finite graph via regular covering projections. Here we describe with an example the problems we…
Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures
Primož Potočnik, Pablo Spiga, Gabriel Verret
A (2,*)-group is a group that can be generated by two elements, one of which is an involution. We describe the method we have used to produce a census of all (2,*)-groups of order…
Locally arc-transitive graphs of valence with trivial edge kernel
Primož Potočnik
In this paper we consider connected locally -arc-transitive graphs with vertices of valence 3 and 4, such that the kernel of the action of an edge-stabiliser on t…