What is the space complexity of Dijkstra's algorithm when using an adjacency lis

Practice Questions

Q1
What is the space complexity of Dijkstra's algorithm when using an adjacency list?
  1. O(V)
  2. O(E)
  3. O(V + E)
  4. O(V^2)

Questions & Step-by-Step Solutions

What is the space complexity of Dijkstra's algorithm when using an adjacency list?
  • Step 1: Understand what space complexity means. It refers to the amount of memory an algorithm uses as the size of the input grows.
  • Step 2: Identify the components of Dijkstra's algorithm. It uses a graph represented by an adjacency list.
  • Step 3: Know that an adjacency list stores all vertices (V) and their connected edges (E).
  • Step 4: Realize that the adjacency list requires space for each vertex and each edge.
  • Step 5: Conclude that the total space used is the sum of the space for vertices (V) and the space for edges (E).
  • Step 6: Therefore, the space complexity of Dijkstra's algorithm using an adjacency list is O(V + E).
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