Discrete Applied Mathematics
Resolvability in graphs and the metric dimension of a graph
Discrete Applied Mathematics
Medial axis lookup table and test neighborhood computation for 3D chamfer norms
Pattern Recognition
On dimension partitions in discrete metric spaces
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Hi-index | 0.00 |
Let (W, d) be a metric space. A subset S ⊆ W is a resolving set for W if d(x, p) = d(y, p) for all p ∈ S implies x = y. A metric basis is a resolving set of minimal cardinality, named the metric dimension (of W). Metric bases and dimensions have been extensively studied for graphs with the intrinsic distance, as well as in the digital plane with the city-block and chessboard distances. We investigate these concepts for polyhedral gauges, which generalize in the Euclidean space the chamfer norms in the digital space.