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Least-weight tree connecting graph vertices
In graph theory, a minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph
Minimum_spanning_tree
rectilinear minimum spanning tree (RMST) of a set of n points in the plane (or more generally, in R d {\displaystyle \mathbb {R} ^{d}} ) is a minimum
Rectilinear minimum spanning tree
Rectilinear_minimum_spanning_tree
Shortest network connecting points
A Euclidean minimum spanning tree of a finite set of points in the Euclidean plane or higher-dimensional Euclidean space connects the points by a system
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
On short connecting nets with added points
variants are the Euclidean Steiner tree problem and the rectilinear minimum Steiner tree problem. The Steiner tree problem in graphs can be seen as a
Steiner_tree_problem
Variant of the Steiner tree problem in geometry and combinatorics
The rectilinear Steiner tree problem, minimum rectilinear Steiner tree problem (MRST), or rectilinear Steiner minimum tree problem (RSMT) is a variant
Rectilinear_Steiner_tree
Topics referred to by the same term
k-minimum spanning tree Kinetic minimum spanning tree Random minimum spanning tree Rectilinear minimum spanning tree Degree-constrained spanning tree Maximum
Spanning tree (disambiguation)
Spanning_tree_(disambiguation)
Topics referred to by the same term
RMST may refer to: Rectilinear minimum spanning tree, an algorithm in graph theory RMS Titanic Inc, a former U.S. company RMST (gene), a long non-coding
RMST
topological minors Steiner tree, or Minimum spanning tree for a subset of the vertices of a graph. (The minimum spanning tree for an entire graph is solvable
List_of_NP-complete_problems
Smallest convex set containing a given set
finite set of points in three-dimensional space, a neighborhood of a spanning tree of the points encloses them with arbitrarily small surface area, smaller
Convex_hull
NP-hard problem in combinatorial optimization
For example, the minimum spanning tree of the graph associated with an instance of the Euclidean TSP is a Euclidean minimum spanning tree, and so can be
Travelling_salesman_problem
Largest independent set of paired elements
MR 0963159, S2CID 17991210 Garey, M. R.; Johnson, D. S. (1977), "The rectilinear Steiner tree problem is NP-complete", SIAM Journal on Applied Mathematics, 32
Matroid_parity_problem
Points separated from others by a line
This parametric minimum spanning tree problem has been studied by various authors and can be used to solve other bicriterion spanning tree optimization problems
K-set_(geometry)
Polygon through a set of points
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
Polygonalization
Another well researched graph parameter is the following. Rectilinear crossing number: The minimum number of crossing points over all straight-line drawings
Topological_graph
Architectural style of Medieval Europe
presents an elegant square base and is adorned with marble decorations in rectilinear compartments. The transept crossing in Italian cathedrals is generally
Gothic_architecture
1890–1911 European style of art and architecture
Deco, which rejected organic surfaces altogether in preference for a rectilinear style derived from the contemporary artistic avant-garde. Art Nouveau
Art_Nouveau
Large permanent human settlement
follows one or more basic patterns: geomorphic, radial, concentric, rectilinear, and curvilinear. The physical environment generally constrains the form
City
"this is minimalism just being too minimum. ... The exterior lacks any softening surrounding landscape (there are no trees or punctuating plantings)... The
List of works by Rafael Viñoly
List_of_works_by_Rafael_Viñoly
plants, beginnings of animal husbandry, especially goats and sheep; rectilinear architecture and ritual spaces appear; Middle PPNB - c. 8400–7500 BC:
Neolithic_in_the_Near_East
State capital in Mexico, Mexico
containing balconies, stained-glass windows and balustrades, terminating in a rectilinear pediment with an image of the Ascension of the Lord. In this, the cathedral
Toluca
manifested in the western regions of the Russian North, is characterized by rectilinear forms, while more plastic forms from the Central Russian lands spread
Russian_wooden_architecture
Period of Cornish history from c. 2400 until c. 800 BCE
In West Penwith, roundhouses are distributed in small numbers, within rectilinear or irregular field systems. Systematic field layouts are limited to a
Cornish_Bronze_Age
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RECTILINEAR MINIMUM-SPANNING-TREE
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RECTILINEAR MINIMUM-SPANNING-TREE
RECTILINEAR MINIMUM-SPANNING-TREE
RECTILINEAR MINIMUM-SPANNING-TREE
RECTILINEAR MINIMUM-SPANNING-TREE
RECTILINEAR MINIMUM-SPANNING-TREE
RECTILINEAR MINIMUM-SPANNING-TREE
RECTILINEAR MINIMUM-SPANNING-TREE
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