A census of Cayley graphsEvans, Rhys J. (Avtor) Potočnik, Primož (Avtor) Cayley graphsenumerationcubic graphsquartic graphsGiven positive integers $k$ and $n$, we present methods to construct all groups of order at most $n$ that contain a Cayley set of size $k$, and to enumerate the Cayley sets of order $k$ in a given group, up to the action of the automorphism group. We use these methods to generate complete lists of pairwise nonisomorphic $3$-valent Cayley graphs with at most 5,000 vertices and $4$-valent Cayley graphs with at most 1,025 vertices.20262026-04-08 08:50:06Neznano28797UDK: 512:519.17ISSN pri članku: 0747-7171DOI: 10.1016/j.jsc.2026.102580COBISS_ID: 274459395sl