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A planar graph and its minimum spanning tree. Each edge is labeled with its weight, which here is roughly proportional to its length. A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. [1]
This is an accepted version of this page This is the latest accepted revision, reviewed on 21 January 2025. Relative weight based on mass and height Medical diagnostic method Body mass index (BMI) Chart showing body mass index (BMI) for a range of heights and weights in both metric and imperial. Colours indicate BMI categories defined by the World Health Organization ; underweight, normal ...
In graph theory, Edmonds' algorithm or Chu–Liu/Edmonds' algorithm is an algorithm for finding a spanning arborescence of minimum weight (sometimes called an optimum branching) [1]. It is the directed analog of the minimum spanning tree problem.
Human body weight is a person's mass or weight.. Strictly speaking, body weight is the measurement of mass without items located on the person. Practically though, body weight may be measured with clothes on, but without shoes or heavy accessories such as mobile phones and wallets, and using manual or digital weighing scales.
Height measurement using a stadiometer. Human height or stature is the distance from the bottom of the feet to the top of the head in a human body, standing erect.It is measured using a stadiometer, [1] in centimetres when using the metric system or SI system, [2] [3] or feet and inches when using United States customary units or the imperial system.
Random minimum spanning tree on the same graph but with randomized weights. When the given graph is a complete graph on n vertices, and the edge weights have a continuous distribution function whose derivative at zero is D > 0, then the expected weight of its random minimum spanning trees is bounded by a constant, rather than growing as a ...
The general graph Steiner tree problem can be approximated by computing the minimum spanning tree of the subgraph of the metric closure of the graph induced by the terminal vertices, as first published in 1981 by Kou et al. [18] The metric closure of a graph G is the complete graph in which each edge is weighted by the shortest path distance ...
In computer science and graph theory, the maximum weight matching problem is the problem of finding, in a weighted graph, a matching in which the sum of weights is maximized. A special case of it is the assignment problem , in which the input is restricted to be a bipartite graph , and the matching constrained to be have cardinality that of the ...