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Journal Articles Discrete Mathematics Year : 2012

Segment representation of a subclass of co-planar graphs

Abstract

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 and versions

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

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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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