Constructing reflection-symmetric flexible realisations of graphsDewar, Sean (Avtor) Grasegger, Georg (Avtor) Legerský, Jan (Avtor) Flexible frameworkrigidityreflection symmetryedge coloringWe study reflection-symmetric realisations of symmetric graphs in the plane that allow a continuous symmetry and edge-length preserving deformation. To do so, we identify a necessary combinatorial condition on graphs with reflection-symmetric flexible realisations. This condition is based on a specific type of edge colouring, where edges are assigned one of three colours in a symmetric way. From some of these colourings we also construct concrete reflection-symmetric realisations with their corresponding symmetry preserving motion. We study also a specific class of reflection-symmetric realisations consisting of triangles and parallelograms.Založba Univerze na Primorskem20262026-08-18 10:48:22Članek v reviji23514UDK: 51eISSN: 1855-3974DOI: 10.26493/1855-3974.3445.d9esl