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as follows: 1. initialization: take each node in the graph as a separate connected component. 2. select edges: from all unselected edges, select the edge with the smallest weight. 3. merge connected components: if the selected edge connects two different connected components, combine the two connected components into one. 4. repeat steps 2-3: continue to select and merge connected components until all nodes are connected. after the algorithm is over, the remaining edges will form the minimum spanning tree of the graph.
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