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Communication Dans Un Congrès Année : 2004

Contact and intersection representations

Résumé

A necessary and sufficient condition is given for a connected bipartite graph to be the incidence graph of a family of segments and points. We deduce that any 4-connected 3-colorable plane graphs is the contact graphs of a family of segments and that any 4-colored planar graph without induced C4 using 4 colors is the intersection graph of a family of straight line segments.

Dates et versions

hal-00005645 , version 1 (27-06-2005)

Identifiants

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Hubert de Fraysseix, Patrice Ossona de Mendez. Contact and intersection representations. 2004, pp.217-227, ⟨10.1007/b105810⟩. ⟨hal-00005645⟩

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CNRS EHESS
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