Vertex-primitive digraphs with large fixityBarbieri, Marco (Avtor) Potočnik, Primož (Avtor) vertex-primitive digraphsfixityproduct actiongraphsThe relative fixity of a digraph $\Gamma$ is defined as the ratio between the largest number of vertices fixed by a nontrivial automorphism of $\Gamma$ and the number of vertices of $\Gamma$. We characterize the vertex-primitive digraphs whose relative fixity is at least $1 \over 3$, and we show that there are only finitely many vertex-primitive digraphs of bounded out-valency and relative fixity exceeding a positive constant.20242024-10-03 11:17:27Članek v reviji163177UDK: 519.17ISSN pri članku: 0373-3114DOI: 10.1007/s10231-024-01447-xCOBISS_ID: 195629059sl