Question:
Which algorithm design strategy is used to find single source shortest paths?
Which algorithm design strategy is used to find single source shortest paths?
Show Hint
Dijkstra's Algorithm
\[
\Longrightarrow
\]
Greedy Strategy
Bellman-Ford
\[
\Longrightarrow
\]
Dynamic Relaxation Method
Updated On: Jun 25, 2026
- Divide and Conquer
- Divide and Merge
- Greedy Approach
- Branch and Bound
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The Correct Option is C
Solution and Explanation
Concept:
The Single Source Shortest Path problem seeks the shortest path from one source vertex to all other vertices in a graph.
The most famous algorithm for this problem is Dijkstra's Algorithm.
Dijkstra's algorithm is based on the Greedy Strategy.
Step 1: Understand Dijkstra's Algorithm.
At each step, Dijkstra's algorithm selects the vertex with the smallest tentative distance. This locally optimal choice is made repeatedly.
Step 2: Identify the design strategy.
Making the best immediate choice at every stage is the hallmark of a Greedy Algorithm. Thus Dijkstra's algorithm follows the Greedy Approach.
Step 3: Compare with other strategies.
Divide and Conquer breaks a problem into subproblems. Branch and Bound is mainly used in optimization problems. Neither is the standard strategy for Dijkstra's shortest path algorithm.
Step 4: Write the answer.
Therefore, \[ \boxed{\text{Greedy Approach}} \] Hence option (C) is correct.
Step 1: Understand Dijkstra's Algorithm.
At each step, Dijkstra's algorithm selects the vertex with the smallest tentative distance. This locally optimal choice is made repeatedly.
Step 2: Identify the design strategy.
Making the best immediate choice at every stage is the hallmark of a Greedy Algorithm. Thus Dijkstra's algorithm follows the Greedy Approach.
Step 3: Compare with other strategies.
Divide and Conquer breaks a problem into subproblems. Branch and Bound is mainly used in optimization problems. Neither is the standard strategy for Dijkstra's shortest path algorithm.
Step 4: Write the answer.
Therefore, \[ \boxed{\text{Greedy Approach}} \] Hence option (C) is correct.
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