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...

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...

graph may have several spanning trees, but a graph that is not connected will not contain a spanning tree (see about spanning forests below). If all of...

tree of the graph associated with an instance of the Euclidean TSP is a Euclidean minimum spanning tree, and so can be computed in expected O(n log n) time...

The k-minimum spanning tree problem, studied in theoretical computer science, asks for a tree of minimum cost that has exactly k vertices and forms a subgraph...

and computational geometry, a minimum-diameter spanning tree of a finite set of points in a metric space is a spanning tree in which the diameter (the longest...

the ratio of lengths of Steiner trees and Euclidean minimum spanning trees for the same point sets in the Euclidean plane. It was proposed by Edgar Gilbert...

the square of the Euclidean distance, and is called the squared Euclidean distance. For instance, the Euclidean minimum spanning tree can be determined...

A kinetic Euclidean minimum spanning tree is a kinetic data structure that maintains the Euclidean minimum spanning tree (EMST) of a set P of n points...

containing spanning tree Minimum spanning tree Capacitated minimum spanning tree Distributed minimum spanning tree Euclidean minimum spanning tree k-minimum spanning...

tree problem in graphs is equivalent to the minimum spanning tree. However, while both the non-negative shortest path and the minimum spanning tree problem...

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 spanning tree...

EMST may refer to: Euclidean minimum spanning tree, a type of subgraph used in graph theory Early Management of Severe Trauma, an alternative name for...

distance between its endpoints. The Euclidean minimum spanning tree is the minimum spanning tree of a Euclidean complete graph. It is also possible to...

problem: GT48  Treewidth Testing whether a tree may be represented as Euclidean minimum spanning tree Vertex cover: GT1  3-partition problem: SP15  Bin packing problem: SR1 ...

the Delaunay triangulation of a set of points knowing the Euclidean minimum spanning tree: randomized O(n log* n) time. Fürer's algorithm for integer...

paired with a final iterative triangle flipping step. The Euclidean minimum spanning tree of a set of points is a subset of the Delaunay triangulation...

total number of edges, and total weight close to that of the Euclidean minimum spanning tree. Although known construction methods for them are slow, fast...

algorithm): find maximum or minimum branchings Euclidean minimum spanning tree: algorithms for computing the minimum spanning tree of a set of points in the...

triangulation is given. The Gabriel graph contains, as subgraphs, the Euclidean minimum spanning tree, the relative neighborhood graph, and the nearest neighbor...

algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every...

the maximum spanning tree of the graph, and a minimax path may be found as the path between the two vertices in the minimum spanning tree. It follows...

contributions include an algorithm for approximating the weight of the Euclidean minimum spanning tree in sublinear time, and finding a tight integrality gap for...

Andrew Yao used these graphs to construct high-dimensional Euclidean minimum spanning trees. Cone-based Spanners in Computational Geometry Algorithms Library...

algorithm finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy...

is a subgraph of the Delaunay triangulation. In turn, the Euclidean minimum spanning tree is a subgraph of it, from which it follows that it is a connected...

condition is imposed, the NNG is a forest, a subgraph of the Euclidean minimum spanning tree. Franco P. Preparata and Michael Ian Shamos (1985). Computational...

t-spanner of a point set. Provide a t-approximation of the Euclidean minimum spanning tree in d dimensions in O ( n lg ⁡ n ) {\displaystyle O(n\lg n)}...

graph of a set of points in general position contains the Euclidean minimum spanning tree of its points, from which it follows that it is a connected...

bounded sets in the Euclidean plane, not all on one line, the boundary of the convex hull is the simple closed curve with minimum perimeter containing...