What would the running time be of Kruskal's algorithm be if we used normal arrays instead...

Question

Question

What would the running time be of Kruskal's algorithm be if we used normal arrays instead of disjoint sets to hold the vertices in each set?

Answer 1

Answer #1

Overall time complexity of Kruskal's algorithm is O(ElogE) or O(ElogV).

The find and union operations takes O(LogV) time when implemented using disjoint set.

However, The find and union operations takes O(V) time when implemented using arrays.

Since we iterate through all edges and apply find-union algorithm. the overall time complexity becomes O(VE).

Answer 2

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