Minimum spanning tree algorithms are methods used to find a subset of the edges in a connected, undirected graph that connects all the vertices together without any cycles and with the minimum possible total edge weight. These algorithms are essential in various applications such as network design, where it's crucial to minimize costs while ensuring connectivity. Two widely recognized algorithms for finding minimum spanning trees are Prim's algorithm and Kruskal's algorithm, both of which employ a greedy strategy to build the spanning tree incrementally.
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