Lecture 12: Greedy Algorithms and Minimum Spanning Tree
ally builds a tree that is always a subset of some MST, and returns a correct answer. Runtime. Prim’s algorithm runs in. O (V) ·T. Extract-Min + O (E) ·T. Decrease-Key. The. O (E) term results from the fact that Step 8 is repeated a number of times equal to the sum of the number of adjacent vertices in the graph, which is equal to 2 |E|, by ...
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