The Spanning Tree Protocol (STP) is a network protocol that builds a loop-free logical topology for Ethernet networks. The basic function of STP is to...

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...

minimum spanning forest, which is a union of the minimum spanning trees for its connected components. There are many use cases for minimum spanning trees. One...

Look up spanning tree in Wiktionary, the free dictionary. Spanning tree is a term in the mathematical field of graph theory Spanning tree may also refer...

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...

Wikimedia Commons has media related to Multiple Spanning Tree Protocol. The Multiple Spanning Tree Protocol (MSTP) and algorithm, provides both simple...

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...

spanning tree of G is a subgraph of G containing all vertices and some of the edges, which is a tree, i.e. connected and with no cycles. A spanning tree...

In mathematics, a random minimum spanning tree may be formed by assigning independent random weights from some distribution to the edges of an undirected...

In graph theory, a minimum degree spanning tree is a subset of the edges of a connected graph that connects all the vertices together, without any cycles...

A kinetic minimum spanning tree is a kinetic data structure that maintains the minimum spanning tree (MST) of a graph whose edge weights are changing as...

minimum-diameter spanning tree of a finite set of points in a metric space is a spanning tree in which the diameter (the longest path length in the tree between...

degree-constrained spanning tree is a spanning tree where the maximum vertex degree is limited to a certain constant k. The degree-constrained spanning tree problem...

Bottleneck Spanning Arborescence (MBSA). In an undirected graph G(V, E) and a function w : E → R, let S be the set of all spanning trees Ti. Let B(Ti)...

distance spanning tree, shortest total path length spanning tree, minimum total distance spanning tree, or minimum average distance spanning tree. In an...

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 of...

random tree is a tree or arborescence that is formed by a stochastic process. Types of random trees include: Uniform spanning tree, a spanning tree of a...

the (non-negative) shortest path problem and the minimum spanning tree problem. If a Steiner tree problem in graphs contains exactly two terminals, it reduces...

Linear spanning, a concept in abstract algebra Spanning tree, a subgraph which is a tree, containing all the vertices of a graph Søren Spanning (1951–2020)...

the edges of which is lowest among all spanning trees of G {\displaystyle G} , is called a minimum spanning tree (MST). It is not necessarily unique. More...

The distributed minimum spanning tree (MST) problem involves the construction of a minimum spanning tree by a distributed algorithm, in a network where...

count spanning trees in an undirected graph, which is addressed by the matrix tree theorem. (Cayley's formula is the special case of spanning trees in a...

theory, a Trémaux tree of an undirected graph G {\displaystyle G} is a type of spanning tree, generalizing depth-first search trees. They are defined...

weights are computed as the difference of pixel intensities. A minimum spanning tree (MST) is a minimum-weight, cycle-free subset of a graph's edges such...

good spanning tree T {\displaystyle T} of an embedded planar graph G {\displaystyle G} is a rooted spanning tree of G {\displaystyle G} whose non-tree edges...

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 algorithm...

now know as the Internet. She is most famous for her invention of the Spanning Tree Protocol (STP), which is fundamental to the operation of network bridges...

Capacitated minimum spanning tree is a minimal cost spanning tree of a graph that has a designated root node r {\displaystyle r} and satisfies the capacity...

theorem or Kirchhoff's matrix tree theorem named after Gustav Kirchhoff is a theorem about the number of spanning trees in a graph, showing that this...

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 computed...