Polyhedral is -
Polyhedral is:-
A polyhedral graph is the undirected graph formed from the vertices and edges of a convex polyhedron. Alternatively, in purely graph-theoretic terms, the polyhedral graphs are the 3-vertex-connected planar graphs.
A simple connected graph.
A plane graph:-
A planar graph is a graph that can be embedded in the plane, that is it can be drawn on the plane in such a way that its edges intersect only at their endpoints. It can be drawn in such a way that no edges cross each other. Such a drawing is called a plane graph.