Vertex-transitive graphs with small motion and transitive permutation groups with small minimal degreeMontero, Antonio (Avtor) Potočnik, Primož (Avtor) fixitymotionminimal degreegraphspermutation groupsThe motion of a graph is the minimum number of vertices that are moved by a non-trivial automorphism. Equivalently, it can be defined as the minimal degree of its automorphism group (as a permutation group on the vertices). In this paper, we develop some results on permutation groups (primitive and imprimitive) with small minimal degree. As a consequence of such results, we classify vertex-transitive graphs whose motion is 4 or a prime number.20252025-05-29 07:34:15Članek v reviji169451UDK: 519.17:512ISSN pri članku: 0097-3165DOI: 10.1016/j.jcta.2025.106065COBISS_ID: 237036803sl