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Klavžar, Sandi; Tan, Elif
Bulletin of the Malaysian Mathematical Sciences Society, 07/2023, Letnik: 46, Številka: 4Journal Article
A set of edges X ⊆ 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 Θ -classes of a Fibonacci cube or a Lucas cube is a maximal edge general position set.
