All graphs with minimum degree at least three admit corner-touching convex polygon representations in 3D, with polynomial-grid algorithms for bipartite, cubic, and 1-planar cubic graphs and impossibility results for Steiner quadruple systems.
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Representing Graphs and Hypergraphs by Touching Polygons in 3D
All graphs with minimum degree at least three admit corner-touching convex polygon representations in 3D, with polynomial-grid algorithms for bipartite, cubic, and 1-planar cubic graphs and impossibility results for Steiner quadruple systems.