most citedPartial cubes with pre-hull number at most 1

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math.CO2019★ 1 cited

Partial cubes with pre-hull number at most 1

Norbert Polat

We prove that a connected bipartite graph G is a partial cube if and only if the set of attaching points of any copoint of G is convex. A consequence of this result is that any con…

math.CO2019

Peano partial cubes

Norbert Polat

Peano partial cubes are the bipartite graphs whose geodesic interval spaces are (closed) join spaces. They are the partial cubes all of whose finite convex subgraphs have a pre-hul…