منابع مشابه
Witness (Delaunay) graphs
Proximity graphs are used in several areas in which a neighborliness relationship for input data sets is a useful tool in their analysis, and have also received substantial attention from the graph drawing community, as they are a natural way of implicitly representing graphs. However, as a tool for graph representation, proximity graphs have some limitations that may be overcome with suitable ...
متن کاملWitness Gabriel graphs
We consider a generalization of the Gabriel graph, the witness Gabriel graph. Given a set of vertices P and a set of witness points W in the plane, there is an edge ab between two points of P in the witness Gabriel graph GG−(P,W ) if and only if the closed disk with diameter ab does not contain any witness point (besides possibly a and/or b). We study several properties of the witness Gabriel g...
متن کاملWitness Rectangle Graphs
In a witness rectangle graph (WRG) on vertex point set P with respect to witness point set W in the plane, two points x, y in P are adjacent whenever the open rectangle with x and y as opposite corners contains at least one witness point in W . WRGs are representative of a much larger family of witness proximity graphs introduced in two previous papers. We study graph-theoretic properties of WR...
متن کاملStable Delaunay Graphs
Let P be a set of n points in R2, and let DT(P) denote its Euclidean Delaunay triangulation. We introduce the notion of an edge of DT(P) being stable. Defined in terms of a parameter α > 0, a Delaunay edge pq is called α-stable, if the (equal) angles at which p and q see the corresponding Voronoi edge epq are at least α. A subgraph G of DT(P) is called (cα, α)-stable Delaunay graph (SDG in shor...
متن کاملOuterplanar graphs and Delaunay triangulations
Over 20 years ago, Dillencourt [1] showed that all outerplanar graphs can be realized as Delaunay triangulations of points in convex position. His proof is elementary, constructive and leads to a simple algorithm for obtaining a concrete Delaunay realization. In this note, we provide two new, alternate, also quite elementary proofs.
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2011
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2011.01.001