What is the time complexity of Kruskal’s algorithm? ans. O(E+1) O(V+logE) O(V2) O(ElogV
Question
What is the time complexity of Kruskal’s algorithm?
- O(E + 1)
- O(V + log E)
- O(V²)
- O(E log V)
Solution
The time complexity of Kruskal’s algorithm is O(ElogV).
Here's a step-by-step explanation:
- Sorting of edges takes O(ElogE) time.
- After sorting, we iterate through all edges and apply the find-union algorithm. The find and union operations can take at most O(logV) time. So overall complexity is O(ElogE + ElogV) time.
- The value of E can be at most O(V2), so O(logV) and O(logE) are same. Therefore, the time complexity of Kruskal’s algorithm is O(ElogV) or O(ElogE).
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