Representation of planar graphs by segments
De Fraysseix, Hubert and Ossona de Mendez, Patrice and Pach, János (1991) Representation of planar graphs by segments. [Journal (Paginated)]
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Given any bipartite planar graph G, one can assign vertical and horizontal segments to its vertices so that (a) no two of them have an interior point in common, (b) two segments have a point in common if and only if the corresponding vertices are adjacent in G.
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