Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations I

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75588We describe an algorithm for the enumeration of (candidates of) vertex-transitive combinatorial $d$-manifolds. With an implementation of our algorithm, we determine, up to combinatorial equivalence, all combinatorial manifolds with a vertex-transitive automorphism group on $n\leq 13$ vertices. With the exception of actions of groups of small order, the enumeration is extended to 14 and 15 vertices.74 pages, 1 figureGeometric TopologyCombinatorics57Q15; 20B25Triangulated Manifolds with Few Vertices: Vertex-Transitive Triangulations Itext