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The medial graph definition can be extended to include an orientation. First, the faces of the medial graph are colored black if they contain a vertex of the original graph and white otherwise. This coloring causes each edge of the medial graph to be bordered by one black face and one white face.
The median of three vertices in a tree, showing the subtree formed by the union of shortest paths between the vertices. Every tree is a median graph. To see this, observe that in a tree, the union of the three shortest paths between pairs of the three vertices a, b, and c is either itself a path, or a subtree formed by three paths meeting at a single central node with degree three.
The original knot diagram is the medial graph of this new plane graph, with the type of each crossing determined by the sign of the corresponding edge. Changing the sign of every edge corresponds to reflecting the knot in a mirror.
Medial axis, in geometry the set of all points having more than one closest point on an object's boundary; Medial graph, another graph that represents the adjacencies between edges in the faces of a plane graph; Medial triangle, the triangle whose vertices lie at the midpoints of an enclosing triangle's sides; Polyhedra: Medial deltoidal ...
The median of a normal distribution with mean μ and variance σ 2 is μ. In fact, for a normal distribution, mean = median = mode. The median of a uniform distribution in the interval [a, b] is (a + b) / 2, which is also the mean. The median of a Cauchy distribution with location parameter x 0 and scale parameter y is x 0, the location parameter.
Very complex graph: the psychrometric chart, relating temperature, pressure, humidity, and other quantities. Non-rectangular coordinates: the above all use two-dimensional rectangular coordinates ; an example of a graph using polar coordinates , sometimes in three dimensions, is the antenna radiation pattern chart, which represents the power ...
The medial graph of the Herschel graph is a 4-regular graph with 18 vertices, one for each edge of the Herschel graph; two vertices are adjacent in the medial graph whenever the corresponding edges of the Herschel graph are consecutive on one of its faces. [12] It is 4-vertex-connected and essentially 6-edge-connected.
The median absolute deviation is a measure of statistical dispersion. Moreover, the MAD is a robust statistic , being more resilient to outliers in a data set than the standard deviation . In the standard deviation, the distances from the mean are squared, so large deviations are weighted more heavily, and thus outliers can heavily influence it.