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.20232023-07-26 08:21:22Članek v reviji148030sl