Difference between revisions of "Spanning tree"

From Wiki @ Karl Jones dot com
Jump to: navigation, search
(Created page with "In the mathematical field of graph theory, a '''spanning tree''' T of an undirected graph G is a subgraph that is a tree which includes all of t...")
(No difference)

Revision as of 15:04, 6 December 2016

In the mathematical field of graph theory, a spanning tree T of an undirected graph G is a subgraph that is a tree which includes all of the vertices of G.

In general, a graph may have several spanning trees, but a graph that is not connected will not contain a spanning tree (but see Spanning forests below). If all of the edges of G are also edges of a spanning tree T of G, then G is a tree and is identical to T (that is, a tree has a unique spanning tree and it is itself).

See also

External links