Intersection graphs of L-shapes and segments in the plane
نویسندگان
چکیده
منابع مشابه
Intersection Graphs of L-Shapes and Segments in the Plane
An L-shape is the union of a horizontal and a vertical segment with a common endpoint. These come in four rotations: L, L , Land L . A k-bend path is a simple path in the plane, whose direction changes k times from horizontal to vertical. If a graph admits an intersection representation in which every vertex is represented by an L, an L or L , a k-bend path, or a segment, then this graph is cal...
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Let V be a set of curves in the plane. The corresponding intersection graph has V as the set of vertices, and two vertices are connected by an edge if and only if the two corresponding curves intersect in the plane. It is shown that the set of intersection graphs of curves in the plane is a proper subset of the set of all undirected graphs. Furthermore, the set of intersection graphs of straigh...
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Let 〈Gr, Gb〉 be a pair of plane st-graphs with the same vertex set V . A simultaneous visibility representation with L-shapes of 〈Gr, Gb〉 is a pair of bar visibility representations 〈Γr, Γb〉 such that, for every vertex v ∈ V , Γr(v) and Γb(v) are a horizontal and a vertical segment, which share an end-point. In other words, every vertex is drawn as an L-shape, every edge of Gr is a vertical vis...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2016
ISSN: 0166-218X
DOI: 10.1016/j.dam.2016.01.028