Edge general position sets in Fibonacci and Lucas cubesKlavžar, Sandi (Avtor) Tan, Elif (Avtor) general position setedge general position setspartial cubesFibonacci cubesLucas cubesA set of edges ▫$X\subseteq E(G)$▫ of a graph ▫$G$▫ is an edge general position set if no three edges from ▫$X$▫ lie on a common shortest path in ▫$G$▫. The cardinality of a largest edge general position set of ▫$G$▫ is the edge general position number of ▫$G$▫. In this paper edge general position sets are investigated in partial cubes. In particular it is proved that the union of two largest ▫$\Theta$▫-classes of a Fibonacci cube or a Lucas cube is a maximal edge general position set.Malaysian Mathematical Society20232024-02-13 09:10:27Znanstveno delo87050UDK: 519.17COBISS_ID: 152529667DOI: 10.1007/s40840-023-01517-yISSN pri članku: 0126-6705sl