Representation of planar graphs by segments

Hubert de Fraysseix (1) , Patrice Ossona de Mendez (1) , Janos Pach

1 CAMS - Centre d'Analyse et de Mathématique sociales

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.

Mots clés: graph drawing; contact representation

Domaines: Combinatoire [math.CO]

Hubert de Fraysseix, Patrice Ossona de Mendez, Janos Pach. Representation of planar graphs by segments. Intuitive Geometry, 1991, 63, pp.109-117. ⟨hal-00005620⟩