Spanning Tree - Category

A spanning tree of an undirected graph is a tree that includes all the vertices of G with the minimum possible number of edges.

For a disconnected graph, there there is no single tree, but a spanning forest, consisting of a spanning tree of each connected component.

Characteristics:

  • It’s implementation is only on undirected graph.

  • Process is done only on edges with positive costs.

  • When the graph is connected

    • The resulting edges make up a tree

  • When the graph is not connected,

    • Finds a minimum spanning tree for each connected component.

    • The resulting edges make up a forest.

See Also

Indices and tables