The skeleton of a spherical polyhedron may also be viewed as the skeleton of other panelled structures. We characterize those collections of cycles of a planar graph that bound the panels of hinged-panel structures, and distinguish those that arise from spherical polyhedra.
Publication Source (Journal or Book title)
Discrete Applied Mathematics
Oxley, J., & Row, D. (1998). Panelling planar graphs. Discrete Applied Mathematics, 81 (1-3), 109-122. https://doi.org/10.1016/S0166-218X(97)00078-4