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For each of the five Platonic solids (the tetrahedron, cube, regular octahedron, regular dodecahedron, and regular icosahedron) state whether the graph of its vertices and
For each of the five Platonic solids (the tetrahedron, cube, regular octahedron, regular dodecahedron, and regular icosahedron) state whether the graph of its vertices and edges is (a) chordal (graphs that have elimination orderings (the ones with no holes) are called chordal graphs), (b) bipartite, (c) perfect but neither chordal nor bipartite, (d) none of the above.
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