Abstract
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 graph, both as a proximity graph and as a new tool in graph drawing.
Original language | English (US) |
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Pages (from-to) | 894-908 |
Number of pages | 15 |
Journal | Computational Geometry: Theory and Applications |
Volume | 46 |
Issue number | 7 |
DOIs | |
State | Published - 2013 |
Keywords
- Gabriel graph
- Graph drawing
- Proximity graph
- Witness graph
ASJC Scopus subject areas
- Computer Science Applications
- Geometry and Topology
- Control and Optimization
- Computational Theory and Mathematics
- Computational Mathematics