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The document discusses algorithms for finding minimum spanning trees in graphs. It describes Prim's and Kruskal's algorithms, which both run in O(ElogV) time where E is the number of edges and V is the number of vertices. It also mentions that Fibonacci heaps can be used to implement Prim's algorithm in O(E+VlogV) time.
For the network protocol, see Spanning Tree Protocol. For other uses, see Spanning tree (disambiguation). A spanning tree (blue heavy edges) of a grid graph 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.[1] In general, a graph may have several spanning trees, but a graph that is not connect
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