spanning subgraph

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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

• 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

• Minimum degree spanning tree — In graph theory, for a connected graph G, a spanning tree T is a subgraph of G with the least number of edges that still spans G. A number of properties can be proved about T. T is acyclic, has ( | V | − 1) edges where V is the number of vertices …   Wikipedia

• K-minimum spanning tree — In mathematics, the K minimum spanning tree is a graph G that spans some K of N vertices in the input set S with the minimum total length. K is less than or equal to N. The K MST does not have to be a subgraph of the minimum spanning tree (MST).… …   Wikipedia

• Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   Wikipedia

• Graph factorization — Not to be confused with Factor graph. 1 factorization of Desargues graph: each color class is a 1 factor …   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

• Forbidden graph characterization — A forbidden graph characterization is a method of specifying or describing a family of graphs whereby a graph belongs to the family in question if and only if for the graph in question certain graphs, called forbidden graphs, are not its parts of …   Wikipedia

• Tutte theorem — In the mathematical discipline of graph theory the Tutte theorem, named after William Thomas Tutte, is a characterization of graphs with perfect matchings. It is a generalization of the marriage theorem and is a special case of the Tutte Berge… …   Wikipedia

• Geometric spanner — A geometric spanner or a k spanner graph or a k spanner was initially introduced as a weighted graph over a set of points as its vertices which for every pair of vertices has a path between them of weight at most k times the spatial distance… …   Wikipedia