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spanning trees algorithm

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  • Spanning tree (mathematics) — In the mathematical field of graph theory, a spanning tree T of a connected, undirected graph G is a tree composed of all the vertices and some (or perhaps all) of the edges of G . Informally, a spanning tree of G is a selection of edges of G… …   Wikipedia

  • Minimum spanning tree — The minimum spanning tree of a planar graph. Each edge is labeled with its weight, which here is roughly proportional to its length. Given a connected, undirected graph, a spanning tree of that graph is a subgraph that is a tree and connects all… …   Wikipedia

  • Kruskal's algorithm — is an algorithm in graph theory that finds a minimum spanning tree for a connected weighted graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is… …   Wikipedia

  • Euclidean minimum spanning tree — The Euclidean minimum spanning tree or EMST is a minimum spanning tree of a set of points in the plane (or more generally in Bbb{R}^n), where the weight of the edge between each pair of points is the distance between those two points. In simpler… …   Wikipedia

  • Distributed minimum spanning tree — The distributed minimum spanning tree problem involves the construction of a minimum spanning tree by a distributed algorithm, in a network where nodes communicate by message passing. It is radically different from the classical sequential… …   Wikipedia

  • Prim's algorithm — Graph and tree search algorithms Alpha beta pruning A* B* Beam Bellman–Ford algorithm Best first Bidirectional …   Wikipedia

  • Reverse-delete algorithm — The reverse delete algorithm is an algorithm in graph theory used to obtain a minimum spanning tree from a given connected, edge weighed graph. If the graph is disconnected, this algorithm will find a minimum spanning tree for each disconnected… …   Wikipedia

  • Borůvka's algorithm — is an algorithm for finding a minimum spanning tree in a graph for which all edge weights are distinct.It was first published in 1926 by Otakar Borůvka as a method of constructing an efficient electricity network for Moravia. [cite journal | last …   Wikipedia

  • Nondeterministic algorithm — In computer science, a nondeterministic algorithm is an algorithm that can exhibit different behaviors on different runs, as opposed to a deterministic algorithm. There are several ways an algorithm may behave differently from run to run. A… …   Wikipedia

  • Nearest-neighbor chain algorithm — In the theory of cluster analysis, the nearest neighbor chain algorithm is a method that can be used to perform several types of agglomerative hierarchical clustering, using an amount of memory that is linear in the number of points to be… …   Wikipedia

  • Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane …   Wikipedia

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