spanning tree
时间: 2024-05-20 17:18:26 浏览: 133
A spanning tree is a subgraph of an undirected graph that includes all the vertices of the graph and forms a tree (i.e., a connected graph with no cycles). In other words, a spanning tree is a tree that spans all the vertices of a graph.
A spanning tree is useful in many applications, such as network design, where it can be used to find the minimum cost network that connects all the nodes. Additionally, it can be used to identify the critical paths in a network and to compute the shortest path between two nodes.
There are several algorithms for finding a spanning tree in a graph, including the depth-first search (DFS) and breadth-first search (BFS) algorithms. Another popular algorithm is Kruskal's algorithm, which finds the minimum spanning tree of a weighted graph.
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