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WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
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A graph is d-polytopal provided it is isomorphic to the graph determined by the vertices and edges of a d-dimensional convex polytope. Polytopal graphs are natural objects of study in a variety of problems in pure mathematics such as the 4-color problem as well as in applied mathematics linear programming, coding, etc.. A survey of the most important properties of polytopal graphs is provided, with marginal improvements on some known results. Author
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