Segment representation of a subclass of co-planar graphs - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier
Article Dans Une Revue Discrete Mathematics Année : 2012

Segment representation of a subclass of co-planar graphs

Résumé

A graph is a segment graph if its vertices can be mapped to line segments in the plane such that two vertices are adjacent if and only if their corresponding line segments intersect. Kratochvíl and Kuběna asked the question of whether the complements of planar graphs, called co-planar graphs, are segment graphs. We show here that the complements of all partial 2-trees are segment graphs.

Dates et versions

lirmm-00807948 , version 1 (04-04-2013)

Identifiants

Citer

Mathew C. Francis, Jan Kratochvil, Tomáš Vyskočil. Segment representation of a subclass of co-planar graphs. Discrete Mathematics, 2012, 312, pp.1815-1818. ⟨10.1016/j.disc.2012.01.024⟩. ⟨lirmm-00807948⟩
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