Aspire Faculty ID #18980 · Topic: UGC NET Computer Science Nov 2020 (Paper II) · Just now
UGC NET Computer Science Nov 2020 (Paper II)

Match List I with List II.
List I List II
(A) Topological sort of DAG (I) $O(V+E)$
(B) Kruskal's MST algorithm (II) $O(VE)$
(C) Bellman-Ford's single-source shortest path algorithm (III) $\theta(V+E)$
(D) Floyd-Warshall's all pair shortest path algorithm (IV) $\theta(V^3)$
Choose the correct answer from the options given below:

Solution

Topological sorting of a DAG takes $\theta(V+E)$ time.

So, (A) matches with III.

Bellman-Ford single-source shortest path algorithm takes $O(VE)$ time.

So, (C) matches with II.

Floyd-Warshall all pair shortest path algorithm takes $\theta(V^3)$ time.

So, (D) matches with IV.

Now, from the given matching list, Kruskal's MST algorithm is matched with $O(V+E)$.

So, (B) matches with I.

Final matching is:

A-III, B-I, C-II, D-IV

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