In graph theory, the rectilinear minimum spanning tree (RMST) of a set of n points in the plane (or more generally, in ) is a minimum spanning tree of that set, where the weight of the edge between each pair of points is the rectilinear distance between those two points.
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A minimumspanningtree (MST) or minimum weight spanningtree is a subset of the edges of a connected, edge-weighted undirected graph that connects all...
polynomially bounded edge lengths and bounding boxes. Rectilinearminimumspanningtree, a minimumspanningtree with distances measured using taxicab geometry...
variants are the Euclidean Steiner tree problem and the rectilinearminimum Steiner tree problem. The Steiner tree problem in graphs can be seen as a...
The rectilinear Steiner tree problem, minimumrectilinear Steiner tree problem (MRST), or rectilinear Steiner minimumtree problem (RSMT) is a variant...
RMST may refer to: Rectilinearminimumspanningtree, an algorithm in graph theory RMS Titanic Inc, a former U.S. company RMST (gene), a long non-coding...
finite set of points in three-dimensional space, a neighborhood of a spanningtree of the points encloses them with arbitrarily small surface area, smaller...
For example, the minimumspanningtree of the graph associated with an instance of the Euclidean TSP is a Euclidean minimumspanningtree, and so can be...
Another well researched graph parameter is the following. Rectilinear crossing number: The minimum number of crossing points over all straight-line drawings...
(mostly in what is now Scotland), and on top of an Iron Age ritual site. Rectilinear stone structures, indicative of a change in housing to the Roman style...
polygon, non-crossing Hamiltonian cycle, or crossing-free straight-edge spanning cycle. Every point set that does not lie on a single line has at least...
Deco, which rejected organic surfaces altogether in preference for a rectilinear style derived from the contemporary artistic avant-garde. Art Nouveau...
developed in England from the later 14th century and is typified by Rectilinear tracery (panel-tracery). The mullions are often joined together by transoms...
In West Penwith, roundhouses are distributed in small numbers, within rectilinear or irregular field systems. Systematic field layouts are limited to a...