Metric dimension (disambiguation)
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In mathematics, metric dimension may refer to: * Metric dimension (graph theory), the minimum number of vertices of an undirected graph ''G'' in a subset ''S'' of ''G'' such that all other vertices are uniquely determined by their distances to the vertices in ''S'' *
Minkowski–Bouligand dimension 450px, Estimating the box-counting dimension of the coast of Great Britain In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal dimension of a s ...
(also called the metric dimension), a way of determining the dimension of a fractal set in a Euclidean space by counting the number of fixed-size boxes needed to cover the set as a function of the box size * Equilateral dimension of a metric space (also called the metric dimension), the maximum number of points at equal distances from each other *
Hausdorff dimension In mathematics, Hausdorff dimension is a measure of ''roughness'', or more specifically, fractal dimension, that was first introduced in 1918 by mathematician Felix Hausdorff. For instance, the Hausdorff dimension of a single point is zero, of ...
, an extended non-negative real number associated with any metric space that generalizes the notion of the dimension of a real vector space {{mathdab